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Experiments on two-phase flow in hydraulic jump on pebbled rough bed:Part 1–Turbulence properties and particle chord time and length
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作者 Farhad Bahmanpouri Carlo Gualtieri Hubert Chanson 《Water Science and Engineering》 EI CAS CSCD 2023年第4期359-368,共10页
This study reported and discussed turbulence characteristics,such as turbulence intensity,correlation time scales,and advective length scales.The characteristic air–water time scale,including the particle chord time ... This study reported and discussed turbulence characteristics,such as turbulence intensity,correlation time scales,and advective length scales.The characteristic air–water time scale,including the particle chord time and length and their probability density functions(PDFs),was investigated.The results demonstrated that turbulence intensity was relatively greater on a rough bed in the roller length,whereas further downstream,the decay rate was higher.In addition,the relationship between turbulence intensity and dimensionless bubble count rate reflected an increase in turbulence intensity associated with the number of entrained particles.Triple decomposition analysis(TDA)was performed to determine the contributions of slow and fast turbulent components.The TDA results indicated that,regardless of bed type and inflow conditions,the sum of the band-pass(T'_(u))and high-pass(T″_(u))filtered turbulence intensities was equal to the turbulence intensity of the raw signal data(T_(u)).T″_(u) highlighted a higher turbulence intensity and larger vorticities on the rough bed for an identical inflow Froude number.Additional TDA results were presented in terms of the interfacial velocity,auto-and cross-correlation time scales,and longitudinal advection length scale,with the effects of low-and high-frequency signal components on each highlighted parameter.The analysis of the air chord time indicated an increase in the proportion of small bubbles moving downstream.The second part of this research focused on the basic properties of particle grouping and clustering. 展开更多
关键词 Hydraulic jump pebbled rough bed Turbulence intensity Particle chord time Two-phase flow
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Experiments on two-phase flow in hydraulic jump on pebbled rough bed:Part 2–Bubble clustering
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作者 Farhad Bahmanpouri Carlo Gualtieri Hubert Chanson 《Water Science and Engineering》 EI CAS CSCD 2023年第4期369-380,共12页
A survey on bubble clustering in air–water flow processes may provide significant insights into turbulent two-phaseflow.These processes have been studied in plunging jets,dropshafts,and hydraulic jumps on a smooth bed.... A survey on bubble clustering in air–water flow processes may provide significant insights into turbulent two-phaseflow.These processes have been studied in plunging jets,dropshafts,and hydraulic jumps on a smooth bed.As a first attempt,this study examined the bubble clustering process in hydraulic jumps on a pebbled rough bed using experimental data for 1.70<Fr_(1)<2.84(with Fr_(1) denoting the inflow Froude number).The basic properties of particle grouping and clustering,including the number of clusters,the dimensionless number of clusters per second,the percentage of clustered bubbles,and the number of bubbles per cluster,were analyzed based on two criteria.For both criteria,the maximum cluster count rate was greater on the rough bed than on the smooth bed,suggesting greater interactions between turbulence and bubbly flow on the rough bed.The results were consistent with the longitudinal distribution of the interfacial velocity using one of the criteria.In addition,the clustering process was analyzed using a different approach:the interparticle arrival time of bubbles.The comparison showed that the bubbly flow structure had a greater density of bubbles per unitflux on the rough bed than on the smooth bed.Bed roughness was the dominant parameter close to the jump toe.Further downstream,Fr_(1) predominated.Thus,the rate of bubble density decreased more rapidly for the hydraulic jump with the lowest Fr_(1). 展开更多
关键词 Hydraulic jump pebbled rough bed Clustering analysis Interparticle arrival time Two-phase flow
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纳米级PEBBLE传感器研究进展 被引量:1
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作者 田臻锋 郭茂田 +3 位作者 陈兴科 王慧 王世明 张荣兰 《微纳电子技术》 CAS 2005年第1期7-12,47,共7页
介绍了纳米量级 PEBBLE 传感器的特点、制备方法、当前的应用及发展趋势,重点阐述了基于对细胞内氧成分探测的比例参量 PEBBLE 传感器。
关键词 纳米 纳米传感器 pebble传感器
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Current Status of the Fabrication of Li_4SiO_4and Beryllium Pebbles for CN HCCB TBM in SWIP 被引量:4
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作者 冯勇进 冯开明 +2 位作者 曹启祥 张建利 胡劲 《Plasma Science and Technology》 SCIE EI CAS CSCD 2013年第3期291-294,共4页
Tritium breeder and neutron multiplier as functional materials play an important role not only in ITER test blanket module (TBM) but also in fusion reactor. The paper describes the status of the fabrication of the t... Tritium breeder and neutron multiplier as functional materials play an important role not only in ITER test blanket module (TBM) but also in fusion reactor. The paper describes the status of the fabrication of the two materials in Southwestern Institute of Physics (SWIP). Li4SiO4 pebbles were fabricated by melt-spraying method. Most of the pebbles with the diazneter of 1.0 mm are well spherically shaped. The properties of the pebbles have been investigated. The results show that the pebbles produced by this method have a high density of 93% TD (theoretical density). It was also found that the open/closed porosity will be decreased after thermal treatment, but the average crush load will be increased to 7 N. The rotating electrode process (REP) has been adopted to produce beryllium pebble for impurity control and mass production. The pebbles with the diameter of 1.0 mm were produced by REP. The beryllium pebbles produced by REP look almost perfectly spherical with a very smooth surface and a high density of 98% TD. The test results indicate that REP method has excellent prospects for the fabrication of beryllium pebbles and the attractiveness of their properties. 展开更多
关键词 Li4SiO4 pebbles melt-spraying method beryllium pebbles REP
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The Shandong Shidao Bay 200 MWe High-Temperature Gas-Cooled Reactor Pebble-Bed Module(HTR-PM)Demonstration Power Plant:An Engineering and Technological Innovation 被引量:1
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作者 Zuoyi Zhang Yujie Dong +10 位作者 Fu Li Zhengming Zhang Haitao Wang Xiaojin Huang Hong Li Bing Liu Xinxin Wu Hong Wang Xingzhong Diao Haiquan Zhang Jinhua Wang 《Engineering》 SCIE EI CAS 2016年第1期119-125,共7页
After the first concrete was poured on December 9,2012 at the Shidao Bay site in Rongcheng,Shandong Province,China,the construction of the reactor building for the world’s first high-temperature gascooled reactor peb... After the first concrete was poured on December 9,2012 at the Shidao Bay site in Rongcheng,Shandong Province,China,the construction of the reactor building for the world’s first high-temperature gascooled reactor pebble-bed module(HTR-PM)demonstration power plant was completed in June,2015.Installation of the main equipment then began,and the power plant is currently progressing well toward connecting to the grid at the end of 2017.The thermal power of a single HTR-PM reactor module is 250 MWth,the helium temperatures at the reactor core inlet/outlet are 250/750℃,and a steam of 13.25 MPa/567℃ is produced at the steam generator outlet.Two HTR-PM reactor modules are connected to a steam turbine to form a 210 MWe nuclear power plant.Due to China’s industrial capability,we were able to overcome great difficulties,manufacture first-of-a-kind equipment,and realize series major technological innovations.We have achieved successful results in many aspects,including planning and implementing R&D,establishing an industrial partnership,manufacturing equipment,fuel production,licensing,site preparation,and balancing safety and economics;these obtained experiences may also be referenced by the global nuclear community. 展开更多
关键词 Nuclear energy High-temperature gas-cooled reactor pebble bed Modular high-temperature gas-cooled reactor High-temperature gas-cooled reactor pebble-bed module
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Study of heat transfer by using DEM–CFD method in a randomly packed pebble-bed reactor 被引量:2
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作者 Qiang Niu Na-Xiu Wang 《Nuclear Science and Techniques》 SCIE CAS CSCD 2019年第2期123-134,共12页
The pebble-bed reactor is one of the most promising designs for the nuclear energy industry. In this paper,a discrete element method-computational fluid dynamics(DEM-CFD) approach that includes thermal conduction, rad... The pebble-bed reactor is one of the most promising designs for the nuclear energy industry. In this paper,a discrete element method-computational fluid dynamics(DEM-CFD) approach that includes thermal conduction, radiation, and natural convection mechanisms was proposed to simulate the thermal-fluid phenomena after the failure of forced circulation cooling system in a pebble-bed core. The whole large-scale packed bed was created using the DEM technique, and the calculated radial porosity of the bed was validated with empirical correlations reported by researchers. To reduce computational costs, a segment of the bed was extracted, which served as a good representative of the large-scale packed bed for CFD calculation. The temperature distributions simulated with two different fluids in this DEM-CFD approach were in good agreement with SANA experimental data. The influence of the natural convection mechanism on heat transfer must be taken into account for coolants with strong convective capacity. The proposed DEM-CFD methodology offers a computationally efficient and widely applied method for understanding the heat transfer process in a pebble-bed core. The method can also be easily extended to assess the passive safety features of newly designed fluoride-salt-cooled pebble-bed reactors. 展开更多
关键词 Discrete element method COMPUTATIONAL fluid dynamics pebble BED Heat transfer Natural CONVECTION
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Thermal-Hydraulic System Study of the Helium Cooled Pebble Bed (HCPB) Test Blanket Module (TBM) for ITER Using System Code RELAP5 被引量:2
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作者 金雪舟 R.Meyder 《Plasma Science and Technology》 SCIE EI CAS CSCD 2005年第2期2753-2757,共5页
The HCPB concept has been a European DEMO reference concept for nearly one decade. Detailed thermal-hydraulic study on the control behavior of the whole system is one of the important parts of this development. The th... The HCPB concept has been a European DEMO reference concept for nearly one decade. Detailed thermal-hydraulic study on the control behavior of the whole system is one of the important parts of this development. The thermal-hydraulic effect of the TBM-combined cooling circuit during a cyclic operation in ITER has been studied using the system code RELAP5. The RELAP5 is based on an one-dimensional, transient two-fluid model for the flow of a two-phase steam-water mixture that can contain noncondensable components like Helium. The RELAP5models are modified to take the cyclic operation of the circulator, heat, exchanger, bypass, valves etc in to account. A sequence of operational phases is investigated, starting from the cold state through the heating phase that brings the system to a stand-by condition, followed by typical power cycles applied in ITER. The results show that the implemented control mechanisms keep the inlet temperature to the TBM and the total mass flow rate at the required values through all phases. 展开更多
关键词 test blanket module helium cooled pebble bed RELAP5 cooling system
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美国佛罗里达pebble磷矿浮选流程试验 被引量:2
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作者 冯春晖 宋文义 +1 位作者 Patrick Zhang 刘云涛 《化工矿物与加工》 北大核心 2017年第10期14-16,共3页
本文对美国佛罗里达pebble磷矿进行了浮选流程试验,试验采用了3种流程,即硅浮选—镁浮选流程,镁浮选—硅浮选流程和镁浮选—脱泥—硅浮选流程。试验结果表明:镁浮选—脱泥—硅浮选流程得到的精矿不但质量较好,而且有较高的P2O5回收率,... 本文对美国佛罗里达pebble磷矿进行了浮选流程试验,试验采用了3种流程,即硅浮选—镁浮选流程,镁浮选—硅浮选流程和镁浮选—脱泥—硅浮选流程。试验结果表明:镁浮选—脱泥—硅浮选流程得到的精矿不但质量较好,而且有较高的P2O5回收率,其综合精矿P2O5品位为30.45%,MgO质量分数为0.98%,P2O5回收率为80.13%。镁浮选—脱泥—硅浮选流程具有流程及药剂制度简单,药剂用量少,试验指标高等优点,是美国佛罗里达pebble磷矿综合利用的有效方法。 展开更多
关键词 pebble磷矿 镁浮选 硅浮选 脱泥
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Modeling of Fuel Elements Cycling System in Pebble Bed Reactor Based on Timed Places Control Petri Nets
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作者 Hongbing Liu Peng Shen +2 位作者 Dong Du Xin Wang Haiquan Zhang 《Energy and Power Engineering》 2013年第4期510-516,共7页
Pebble bed reactors use cycling scheme of spherical fuel elements relying on fuel elements cycling system (FECS). The structure and control logic of FECS are very complex. Each control link has strict requirements on ... Pebble bed reactors use cycling scheme of spherical fuel elements relying on fuel elements cycling system (FECS). The structure and control logic of FECS are very complex. Each control link has strict requirements on time and sequence. This increases the difficulties of description and analysis. In this paper, timed places control Petri nets (TPCPN) is applied for the modeling of FECS. On this basis the simulation of two important processes, namely uploading fuel elements into the core for the first time and emptying the core is finished by simulation software Arena. The results show that as TPCPN is able to describe different kinds of logic relationship and has time properties and control properties, it’s very suitable for the modeling and analysis of FECS. 展开更多
关键词 TIMED PLACES CONTROL Petri nets (TPCPN) Arena pebble Bed Reactors Fuel Elements CYCLING SYSTEM (FECS)
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Effects of vibration conditions,spatial confinement and friction on mixing and segregation characteristics of mixed pebble beds for CFETR WCCB blanket
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作者 Yong Liu Chongyang He +2 位作者 Cong Wang Lei Chen Songlin Liu 《Particuology》 SCIE EI CAS CSCD 2024年第2期268-279,共12页
This paper presents the study of the dynamic characteristics of confined mixed pebble beds with different friction under different vibration conditions using the discrete element method.Theλsegre-gation index is used... This paper presents the study of the dynamic characteristics of confined mixed pebble beds with different friction under different vibration conditions using the discrete element method.Theλsegre-gation index is used to quantify the degree of particle mixing or segregation.The percolation,convection and diffusion mechanisms are responsible for the segregation patterns of the mixed pebble.The results show the degree of segregation can be suppressed by decreasing the vibration acceleration or free space height below a threshold.Further simulation reveals the threshold of vibration acceleration or free space height both are related to the bed height increment which determines the strength of the percolation mechanism.In addition,the strength of percolation and convection becomes weaker by decreasing the friction of particles and walls,which makes the pebbled bed remains in a mixed state under vibration.These findings are significant to clarify the main factors behind the three segregation mechanisms and hence provide solutions to retaining the mixed state of the Li2TiO3&Be12Ti mixed pebble bed. 展开更多
关键词 VIBRATION SEGREGATION Binary pebble bed Discrete element method
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Smart passive gait retraining intervention via pebbles for reducing peakplantar pressure: Short-term results
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作者 Fatemeh Farhadi Haihua Ou +1 位作者 Peter Shull Shane Johnson 《Medicine in Novel Technology and Devices》 2023年第3期29-40,共12页
Recently, there has been a growing interest in gait retraining to alter the gait parameters of different populations.In these gait retraining, peak plantar pressure (PPP) was considered as an important parameter of th... Recently, there has been a growing interest in gait retraining to alter the gait parameters of different populations.In these gait retraining, peak plantar pressure (PPP) was considered as an important parameter of the footbiomechanics. It has been found that high PPP correlates to the common foot deformities including pes planus/cavus. However, previous studies utilized excessive electronics in gait retraining, which is challenging toimplement daily especially when device cleaning, flexibility and portability are considered. Therefore, this studyinvestigated feasibility of a novel unpowered gait retraining for reducing high PPP. Twelve potential participantsidentified for investigation through a baseline PPP evaluation with Novel Pedar-x system. Participants received asingle session for the gait retraining with pebbles in the form of rigid spherical inserts (RSI) placed in locations ofhigh PPP inside the deformable insole. This provides tactile cues alerting the participants to alter their gait toreduce excess PPP. The PPP values were tracked in weekly follow-up sessions for 6 weeks. The results demonstrated that participants responded to RSI altering their gait to reduce PPP and maximum force by 14% and 10.5%after six weeks respectively. This study is valuable for physicians in reducing PPP when non-electronics arerequired. 展开更多
关键词 Smart passive gait retraining pebbles Peak plantar pressure Tactile cues
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Pebble模糊有穷自动机和传递闭包逻辑 被引量:4
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作者 范艳焕 耿生玲 李永明 《模糊系统与数学》 CSCD 北大核心 2015年第4期38-44,共7页
定义了Lukasiewicz逻辑下的一阶有界传递闭包逻辑,并且给出了模糊有穷自动机的一阶有界传递闭包逻辑;另外,我们还介绍了两类模糊有穷自动机:Nested模糊有穷自动机和Pebble模糊有穷自动机,并且证得这两类模糊自动机都可以由一阶有界传递... 定义了Lukasiewicz逻辑下的一阶有界传递闭包逻辑,并且给出了模糊有穷自动机的一阶有界传递闭包逻辑;另外,我们还介绍了两类模糊有穷自动机:Nested模糊有穷自动机和Pebble模糊有穷自动机,并且证得这两类模糊自动机都可以由一阶有界传递闭包逻辑来刻画,因此它们并没有提升模糊自动机的语言识别能力;进而得到本文的主要结论:在Lukasiewicz逻辑下,模糊单体二阶逻辑与Lukasiewicz逻辑下的一阶有界传递闭包逻辑之间等价,且模糊自动机所识别的语言与Pebble模糊有穷自动机识别的语言是等价的。 展开更多
关键词 模糊有穷自动机 单体二阶逻辑 有界传递闭包模糊逻辑 pebble模糊有穷自动机
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Effects of coefficient of friction and coefficient of restitution on static packing characteristics of polydisperse spherical pebble bed
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作者 Jian Wang Mingzhun Lei +4 位作者 Hao Yang Kun Xu Shuling Xu Pinghui Zhao Yuntao Song 《Particuology》 SCIE EI CAS CSCD 2021年第4期1-9,共9页
The effects of the coefficient of friction and coefficient of restitution on the static packing characteristics of a polydisperse spherical pebble bed are numerically investigated using the discrete element method.Sev... The effects of the coefficient of friction and coefficient of restitution on the static packing characteristics of a polydisperse spherical pebble bed are numerically investigated using the discrete element method.Several important static packing characteristics under different coefficients of friction and restitution are presented and discussed.The results show that the coefficients of friction and restitution impose opposite effects on the packing heights and global packing factor.Neither the coefficient of friction nor restitution affected the oscillation width of the wall,whereas their effects are primarily reflected in the oscillation amplitude of the radial local packing factor and the axial local packing factor distribution at the top of the pebble bed.In both the contact force distribution and coordination number distribution,a left-shifted phenomenon appearing as the coefficient of friction occurred,and only the magnitude of the maximum frequency is affected when the coefficient of restitution changed from 0.1 to 0.9.In all simulation cases,the effects of the coefficients of friction and restitution are similar to that of cross-impact. 展开更多
关键词 Static characteristic Discrete element method Input parameter Polydisperse pebble bed Ceramic pebble
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Lower time limit on the UHPM rock exhumation: Discovery of eclogite pebbles in the Late Jurassic conglomerates from the northern foot of the Dabie Mountains, eastern China 被引量:19
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作者 Daoxuan Wang Yin Liu +1 位作者 Shuangying Li Fuquan Jin 《Chinese Science Bulletin》 SCIE EI CAS 2002年第3期231-235,共5页
Eclogite pebbles are first discovered in late Jurassic conglomerates of the Fenghuangtai Formation from the northern foot of the Dabie Mountains, eastern China. The eclogite shows relatively strong retrograde metamor-... Eclogite pebbles are first discovered in late Jurassic conglomerates of the Fenghuangtai Formation from the northern foot of the Dabie Mountains, eastern China. The eclogite shows relatively strong retrograde metamor-phism. The major remnant minerals are garnet, phengite, quartz, rutile, clinozoisite, fingerprint(or worm)-form sym-plectite and pseudomorphic enclosure of coesite in garnet. End-member components of the garnet mainly made up of grossular (27.7%-37.8%), almandinc (45.5%-49.0%) and pyrope (12.3%-25.7%). End-member components of the pyrope is less than 30%, i.e. equivalent to C type eclogite. Si-cations of the phengite are 3.44-3.54 p.f.u. (taking O=11as standard). It is estimated that the pressures are 2.5-3.2 GPa, the temperatures are 600-900℃. Discovery of the eclogite pebbles in the late Jurassic conglomerates from the northern foot of the Dabie Mountains suggests that the HP-UHP metamorphic rocks of the Dabie Mountains, which were formed in Triassic, had been exposed to the surface in 展开更多
关键词 time of EXHUMATION Late JURASSIC Fenghuangtai Formation ECLOGITE pebbles northern FOOT of the DABIE Mountains.
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Smart Pebble鹅卵石
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《航空港》 2012年第7期43-43,共1页
Smart Pebble鹅卵石,来自于韩国设计品牌designMAXX,采用新兴的铂固化硅橡胶(Platinum silicone),它拥有高度的可塑性,平滑不会刮伤高贵的笔电、手机,中空设计犹如吸盘一般。
关键词 SILICONE 设计品牌 SMART pebble 平滑性 刮伤 人体模型 光滑表面 扭曲性 固化
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Pebble Dumplings
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作者 A RONG 《Women of China》 1999年第3期53-53,共1页
Ingredients:Polished glutinous rice powder, yellow cheese powder,cocoa powder, and red bean paste or other for stuffing.Method:1. Mix the rice powder with cheese and cocoa powdersrespectively, add in water and roll a ... Ingredients:Polished glutinous rice powder, yellow cheese powder,cocoa powder, and red bean paste or other for stuffing.Method:1. Mix the rice powder with cheese and cocoa powdersrespectively, add in water and roll a yellow dough and abrown dough; prepare another pure rice 展开更多
关键词 pebble Dumplings
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圈的中间图pebbling数和Graham猜想 被引量:2
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作者 叶永升 刘芳 翟明清 《运筹学学报》 CSCD 北大核心 2013年第3期35-44,共10页
图G的一个pebbling移动是从一个顶点移走2个pebble,而把其中的1个pebble移到与其相邻的一个顶点上.图G的pebbling数f(G)是最小的正整数n,使得不论n个pebble如何放置在G的顶点上,总可以通过一系列的pebbling移动,把1个pebble移到图G的任... 图G的一个pebbling移动是从一个顶点移走2个pebble,而把其中的1个pebble移到与其相邻的一个顶点上.图G的pebbling数f(G)是最小的正整数n,使得不论n个pebble如何放置在G的顶点上,总可以通过一系列的pebbling移动,把1个pebble移到图G的任意一个顶点上.图G的中间图M(G)就是在G的每一条边上插入一个新点,再把G上相邻边上的新点用一条边连接起来的图.对于任意两个连通图G和H,Graham猜测f(G×H)≤f(G)f(H).首先研究了圈的中间图的pebbling数,然后讨论了一些圈的中间图满足Graham猜想. 展开更多
关键词 GRAHAM猜想 中间图 PEBBLING数
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广义友谊图乘积上的Graham pebbling猜想 被引量:1
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作者 高泽图 尹建华 李文雅 《高校应用数学学报(A辑)》 CSCD 北大核心 2008年第4期487-491,共5页
连通图G的pebbling数f(G)是最小的正整数n,使得不管n个pebble如何放置在G的顶点上,总可以通过一系列的pebbling移动把一个pebble移到图G的任意一个顶点上.Graham猜测对于任意的连通图G和H有f(G×H)≤f(G)f(H).文中证明了当H为友谊... 连通图G的pebbling数f(G)是最小的正整数n,使得不管n个pebble如何放置在G的顶点上,总可以通过一系列的pebbling移动把一个pebble移到图G的任意一个顶点上.Graham猜测对于任意的连通图G和H有f(G×H)≤f(G)f(H).文中证明了当H为友谊图或广义友谊图,G是一个具有2-pebbling性质的图时,Graham猜想成立.作为一个推论,文中也证明了当G和H是友谊图或广义友谊图时,Graham猜想成立. 展开更多
关键词 PEBBLING GRAHAM猜想 友谊图 广义友谊图
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几类二部图的pebbling数 被引量:1
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作者 高泽图 尹建华 《高校应用数学学报(A辑)》 CSCD 北大核心 2010年第3期365-371,共7页
Chung定义了图G上的一个pebbling移动是从一个顶点移走两个pebble而把其中的一个移到与其相邻的一个顶点上.连通图G的pebbling数f(G)是最小的正整数n,使得不管n个pebble如何放置在G的顶点上,总可以通过一系列的pebbling移动把一个pebbl... Chung定义了图G上的一个pebbling移动是从一个顶点移走两个pebble而把其中的一个移到与其相邻的一个顶点上.连通图G的pebbling数f(G)是最小的正整数n,使得不管n个pebble如何放置在G的顶点上,总可以通过一系列的pebbling移动把一个pebble移到G的任意一个顶点上.Graham猜测对于任意的连通图G和H有f(G×H)≤f(G)f(H).作者们验证了三类二部图的2-pebbling性质以及当H为此类二部图,G为一个2-pebbling性质的图时,Graham猜想成立. 展开更多
关键词 PEBBLING数 GRAHAM猜想 二部图
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关于正则二部图的Pebbling数 被引量:1
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作者 高泽图 《海南大学学报(自然科学版)》 CAS 2008年第3期225-230,共6页
图G的pebbling数f(G)是最小的正整数n,使得不管n个pebble如何放置在G的顶点上,总可以通过一系列的pebbling移动把一个pebble移到图G的任意一个顶点上,其中图G的一个pebbling移动是从一个顶点移走2个pebble,而把其中的一个移到与其相邻... 图G的pebbling数f(G)是最小的正整数n,使得不管n个pebble如何放置在G的顶点上,总可以通过一系列的pebbling移动把一个pebble移到图G的任意一个顶点上,其中图G的一个pebbling移动是从一个顶点移走2个pebble,而把其中的一个移到与其相邻的一个顶点上.证明了具有2m个顶点的k-正则二部图的Pebbling数为2m,其中k≥「(m+1)/2﹁. 展开更多
关键词 PEBBLING 正则二部图 传送子图
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