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重图的T-染色
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作者 杜娟 张玉青 张素娟 《河北省科学院学报》 CAS 2006年第3期1-4,共4页
重图的T-染色是图的T-染色的一个较为实用的部分,这是因为在研究频率分配时,干扰可能会在不同的水平上发生。由于一个重图G能够被剖分成K个不同部分,用G(V,G0,G1,……,GK-1)来表示G。重图G(V,G0,G1,…,GK-1)的一个T-染色是指一个函数f,... 重图的T-染色是图的T-染色的一个较为实用的部分,这是因为在研究频率分配时,干扰可能会在不同的水平上发生。由于一个重图G能够被剖分成K个不同部分,用G(V,G0,G1,……,GK-1)来表示G。重图G(V,G0,G1,…,GK-1)的一个T-染色是指一个函数f,f满足同时是Gi的T(i)染色,即:对i=0,1,……,K-1,{x,y}∈E(Gi)|f(x)-f(y)|T(i)。G的f染色的色数是指值不同的f(x)的个数,记作:XT(f)。其中x∈V(G)。G的f染色的跨度等于m ax|f(x)-f(y)|,记作:spT(f),其中{x,y}∈E(G)。G的T-染色的色数和跨度分别记作XT(G)和spT(G),当f取遍所有G的T-染色时,XT(G)=m inXT(f),spT(G)=m inspT(f)。本文将给出一些关于重图的T-染色的已知结论,同时还将给出一种计算重图的spT的新算法。 展开更多
关键词 t-染色 重图 频率分配 干扰水平 Xr(G) spr(G) 算法
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T-染色和G_n^d图的T-边柞(Edge Span)
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作者 王军秀 《纯粹数学与应用数学》 CSCD 2003年第4期361-364,共4页
给定一个包含0的有限正整数集T,一个简单图G的一个T-染色是定义在G的顶点集V(G)上的一个非负函数f,满足对任意的uv∈E(G)有|f(u)-f(v)| T.一个T-染色f的边柞(edgespan)定义为最大的|f(x)-f(y)|,xy∈E(G),一个图G的边柞(edgespan)是G的所... 给定一个包含0的有限正整数集T,一个简单图G的一个T-染色是定义在G的顶点集V(G)上的一个非负函数f,满足对任意的uv∈E(G)有|f(u)-f(v)| T.一个T-染色f的边柞(edgespan)定义为最大的|f(x)-f(y)|,xy∈E(G),一个图G的边柞(edgespan)是G的所有T-染色中最小的边柞(edgespan).这篇文章研究了当T={0,1,2,…,k-1}时,Gdn图的T-边柞(edgespan),找到了当n≡1(modd)时Gdn图的T-边柞(edgespan)的确切值,和其他情况下的上下界. 展开更多
关键词 t-柞(span) t-边柞(edge span) t-染色
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图的T-边匝(英文)
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作者 曹荣荣 何文杰 《曲阜师范大学学报(自然科学版)》 CAS 2003年第4期46-50,共5页
假定G是一个图 ,且T是一个包含零的非负整数集 ,图G的一个T_染色是指分配到图G的每个顶点x上的非负整数f(x) ,使得当任意x ,y∈E(G)时 ,|f(x) -f(y) | T .T_染色f的edgespan是对G的所有边xy中 |f(x) -f(y) |的最大值 ,图G的T_edgespan... 假定G是一个图 ,且T是一个包含零的非负整数集 ,图G的一个T_染色是指分配到图G的每个顶点x上的非负整数f(x) ,使得当任意x ,y∈E(G)时 ,|f(x) -f(y) | T .T_染色f的edgespan是对G的所有边xy中 |f(x) -f(y) |的最大值 ,图G的T_edgespan是指G的T染色的edgespan的最小值 .该文主要研究了对T ={ 0 ,1,2 ,… ,k - 1}Cdn 图的T_edgespan 。 展开更多
关键词 图论 t-染色 t-edg-espan 最大值 顶点 Cn^d图
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An unusual enteropathy-associated T-cell lymphoma with MYC translocation arising in a Japanese patient:A case report 被引量:3
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作者 Kenji Okumura Masahiko Ikebe +4 位作者 Tatsuro Shimokama Morishige Takeshita Nao Kinjo Keishi Sugimachi Hidefumi Higashi 《World Journal of Gastroenterology》 SCIE CAS CSCD 2012年第19期2434-2437,共4页
Enteropathy-associated T-cell lymphoma (EATL) is a rare peripheral T-cell lymphoma classified into 2 types, with or without celiac disease, based on histology. Type 2 EATL is less commonly associated with celiac dis... Enteropathy-associated T-cell lymphoma (EATL) is a rare peripheral T-cell lymphoma classified into 2 types, with or without celiac disease, based on histology. Type 2 EATL is less commonly associated with celiac disease, in which cells are characterized by being monomorphic and small- to medium-sized. Cells are characterized by CD8 and CD56 expression and c-MYC oncogene locus gain. We present an atypical case of type 2 EATL in the jejunum, with human T-lymphotropic virus-1 that was CD4- CDS+ CD56- CD30- CD25- TIA-I+ and granzyme B+ on immunohistological staining. It also displayed translocation of chromosome 8p24 (c-MYC), as de- termined by fluorescent/n situ hybridization. Mucosalspreading and intraepithelial invasion by lymphoma with villous atrophy were detected adjacent to the mucosal layer. The lymphoma may be derived from in- traepithelial CD8+ T cells, similar to celiac disease. 展开更多
关键词 Enteropathy-associated t-cell lymphoma Celiac disease Human t-lymphotropic virus-l Fluores-cent in situ hybridization Chromosome 8p24
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关于几类图的L(3,2,1)-标号问题 被引量:4
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作者 邵振东 刘家壮 《运筹与管理》 CSCD 2004年第5期43-46,共4页
图G的L(2,1)-标号是一个从顶点集V(G)到非负整数集的函数f(x),使得若d(x,y)=1则|f(x)-f(y)| 2;若d(x,y)=2,则|f(x)-f(y)| 1。图G的L(2,1)-标号数是λ(G)使得G有的max{f(v):v∈V(G)}=k的L(2,1)-标号中的最小数k。本文将L(2,1)-标号问题... 图G的L(2,1)-标号是一个从顶点集V(G)到非负整数集的函数f(x),使得若d(x,y)=1则|f(x)-f(y)| 2;若d(x,y)=2,则|f(x)-f(y)| 1。图G的L(2,1)-标号数是λ(G)使得G有的max{f(v):v∈V(G)}=k的L(2,1)-标号中的最小数k。本文将L(2,1)-标号问题推广到更一般的情形即L(3,2,1)标号问题,并得到了平面三角剖分图、立体四面体剖分图的λ3(G)的上界。 展开更多
关键词 运筹学 频率分配 t-染色 L(2 1)-标号
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关于两类平面图及相关图的L(2,1)-标号问题 被引量:2
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作者 邵振东 刘家壮 《山东大学学报(理学版)》 CAS CSCD 北大核心 2003年第1期37-40,共4页
图G的L( 2 ,1) 标号是一个从顶点集V(G)到非负整数集的函数f(x) ,使得若d(x ,y) =1,则 |f(x) -f(y) | 2 ;若d(x ,y) =2 ,则 |f(x) -f(y) | 1 图G的L( 2 ,1)标号数λ(G)是使得G有max{f(v) :v∈V(G) } =k的L( 2 ,1)标号中的最小数k Gri... 图G的L( 2 ,1) 标号是一个从顶点集V(G)到非负整数集的函数f(x) ,使得若d(x ,y) =1,则 |f(x) -f(y) | 2 ;若d(x ,y) =2 ,则 |f(x) -f(y) | 1 图G的L( 2 ,1)标号数λ(G)是使得G有max{f(v) :v∈V(G) } =k的L( 2 ,1)标号中的最小数k Griggs和Yeh猜想对最大度为Δ的一般图G ,有λ(G) Δ2 证明了对平面三角剖分图、立体四面体剖分图、平面近四边形剖分图 。 展开更多
关键词 L(2 1)标号 t-染色 平面三角剖分图 立体四面体剖分图 平面近四边形剖分图
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关于n-格图及相关图的L(2,1)标号问题
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作者 邵振东 刘家壮 《山东大学学报(理学版)》 CAS CSCD 北大核心 2002年第4期289-291,共3页
图G的L(2 ,1 )标号是一个从顶点集V(G)到非负整数集的函数f(x) ,使得若d(x ,y) =1 ,则|f(x) -f(y) | 2 ;若d(x ,y) =2 ,则 |f(x) -f(y) | 1 .移动通讯频率分配问题可以转化为图的L(2 ,1 )标号问题 .将 2 格图及相关图推广到n 格图及... 图G的L(2 ,1 )标号是一个从顶点集V(G)到非负整数集的函数f(x) ,使得若d(x ,y) =1 ,则|f(x) -f(y) | 2 ;若d(x ,y) =2 ,则 |f(x) -f(y) | 1 .移动通讯频率分配问题可以转化为图的L(2 ,1 )标号问题 .将 2 格图及相关图推广到n 格图及相关图 ,并给出了它们的L(2 ,1 )标号 . 展开更多
关键词 n-1格图 L(2 1)标号 频率分配问题 t-染色问题 移动通讯 3-稳定集 顶点标号 n-格图 相关图
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关于图的距离标号问题
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作者 邵振东 刘家壮 《运筹与管理》 CSCD 2006年第4期44-46,共3页
图G的L(2,1)-标号是一个从顶点V(G)集到非负整数集的函数f(x),使得若d(x,y)=1,则|f(x)-f(y)|≥2;若d(x,y)=2,则|f(x)-f(y)|≥1。图G的L(2,1)-标号数λ(G)是使得G有max{f(v):v∈V(G)}=k的L(2,1)-标号中的最小数k。本文将L(2,1)-标号问题... 图G的L(2,1)-标号是一个从顶点V(G)集到非负整数集的函数f(x),使得若d(x,y)=1,则|f(x)-f(y)|≥2;若d(x,y)=2,则|f(x)-f(y)|≥1。图G的L(2,1)-标号数λ(G)是使得G有max{f(v):v∈V(G)}=k的L(2,1)-标号中的最小数k。本文将L(2,1)-标号问题推广到更一般的情形即L(d1,d2,d3)-标号问题,并得出了复合图的λd1,d2,d3(G)的上界。 展开更多
关键词 运筹学 频率分配 t-染色 L(2 1)-标号
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关于图的L(d,1)-标号问题
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作者 邵振东 刘家壮 《高校应用数学学报(A辑)》 CSCD 北大核心 2004年第B12期561-566,共6页
图G的L(2,1)-标号是一个从顶点集V(G)到非负整数集的函数f(x),使得若d(x,y)=1,则f(x)-f(y)≥2;若d(x,y)=2,则f(x)-f(y)≥1.图G的L(2,1)-标号数λ(G)是使得G有maxf(v)v∈V(G)=k的L(2,1)-标号中的最小数k.Griggs和Yeh猜想对最大度为Δ的... 图G的L(2,1)-标号是一个从顶点集V(G)到非负整数集的函数f(x),使得若d(x,y)=1,则f(x)-f(y)≥2;若d(x,y)=2,则f(x)-f(y)≥1.图G的L(2,1)-标号数λ(G)是使得G有maxf(v)v∈V(G)=k的L(2,1)-标号中的最小数k.Griggs和Yeh猜想对最大度为Δ的一般图G,有λ(G)≤Δ2.此文研究了作为L(2,1)-标号问题的推广的L(d,1)-标号问题,并得出了平面三角剖分图、立体四面体剖分图、平面近四边形剖分图的L(d,1)-标号的上界,作为推论证明了对上述几类图该猜想成立. 展开更多
关键词 L(2 1)-标号 t-染色 平面三角剖分图 立体四面体剖分图 平面近四边形剖分图
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平面三角剖分图的L(2,1)标号
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作者 刘延军 《山东师范大学学报(自然科学版)》 CAS 2002年第1期84-85,共2页
图G的L( 2 ,1)标号是从一个顶点集V(G)到非负整数集的函数f(x) ,使得若d(x ,y) =1,则 |f(x) -f( y) |≥ 2 ;若d(x ,y) =2 ,则 |f(x) -f(y) |≥ 1.图G的L( 2 ,1)标号数λ(G)是使得G有max{ f(υ) :υ∈V(G) } =k的L( 2 ,1)标号中的最小数... 图G的L( 2 ,1)标号是从一个顶点集V(G)到非负整数集的函数f(x) ,使得若d(x ,y) =1,则 |f(x) -f( y) |≥ 2 ;若d(x ,y) =2 ,则 |f(x) -f(y) |≥ 1.图G的L( 2 ,1)标号数λ(G)是使得G有max{ f(υ) :υ∈V(G) } =k的L( 2 ,1)标号中的最小数k .本文证明了对最大度为Δ的一般平面三角剖分图G ,有λ(G)≤Δ2 -Δ ;当G的直径大于 2时 ,有λ(G)≤Δ2 -Δ ; 展开更多
关键词 平面三角剖分图 标号 最大度 t-染色问题 非负整数集 平面嵌入 最小数
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BURDEN OF ABNORMAL HEMATOPOIETIC CLONE IN PATIENTS WITH MYELODYSPLASTIC SYNDROMES 被引量:1
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作者 Hua-quan Wang Zong-hong Shao +10 位作者 Jun Shi Yan-ran Cao Hong Liu Jie Bai Mei-feng Tu Li-ming Xing Zhen-zhu Cui Shi-he Liu Jun Sun Hai-rong Jia Tian-ying Yang 《Chinese Medical Sciences Journal》 CAS CSCD 2006年第2期99-103,共5页
Objective To investigate the role of the burden of abnormal hematopoietic clone in the development of myelodysplastic syndromes (MDS). Methods The ratio of the bone marrow cells with abnormal chromosomes to the total ... Objective To investigate the role of the burden of abnormal hematopoietic clone in the development of myelodysplastic syndromes (MDS). Methods The ratio of the bone marrow cells with abnormal chromosomes to the total counted bone marrow cells was regarded as the index of MDS clone burden. The disease severity related parameters including white blood cell count, hemoglobin, platelet count, lactate dehydrogenase level, bone marrow blast, myeloid differentiation index, micromegakaryocyte, transfusion, interleukin-2, tumor necrosis factor (TNF), CD4^+ and CD8^+ T cells of MDS patients were assayed, and the correlations between those parameters and MDS clone burden were also analyzed. Results The clone burden of MDS patients was 67.4%±36.2%. MDS clone burden positively correlated with bone marrow blasts (r = 0.483, P<0.05), negatively with hemoglobin level (r=-0.445, P<0.05). The number of blasts, hemoglobin, and erythrocytes in high clone burden (>50%) and low clone burden (≤50%) groups were 7.78%±5.51% and 3.45%±3.34%, 56.06±14.28 g/L and 76.40±24.44 g/L, (1.82±0.48)×10~ 12 /L and (2.32±0.66)×10~ 12 /L, respectively (all P<0.05). CD4^+ T lymphocytes of MDS patients and normal controls were (0.274±0.719)×10~ 9 /L and (0.455±0.206)×10~ 9 /L, respectively (P<0.05). CD8^+ T lymphocytes of MDS patients and normal controls were (0.240±0.150)×10~ 9 /L and (0.305±0.145)×10~ 9 /L, respectively. The serum level of interleukin-2 of MDS patients (6.29±3.58 ng/mL) was significantly higher than normal control (3.11±1.40 ng/mL, P<0.05). The serum level of TNF of MDS patients and normal control group were 2.42±1.79 ng/mL and 1.68±0.69 ng/mL, respectively. The ratio of CD4 to CD8 was higher in high clone burden MDS patients (1.90±0.52) than that in low clone burden patients (0.97±0.44, P<0.05). Conclusion The quantitive clonal karyotype abnormalities and deficient T cell immunity are important parameters for evaluating MDS severity and predicting its progression. 展开更多
关键词 myelodysplastic syndromes KARYOTYPE T lymphocyte
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均衡Ramsey数
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作者 陈协彬 《漳州师院学报(哲学社会科学版)》 1994年第2期1-7,共7页
设G1,…,Gt(t≥2)是单图,均衡Ramsey数B(G1,…,Gt)定义为最小正整数n,使得对于每个N≥n和完全图KN的每个均衡t一边染色KN=H1……Ht(均衡染色指Hi和Hj的边数之差至多为1,1≤i≤j≤t),存在至少一个i,1≤i≤t,图Gi是Hi的... 设G1,…,Gt(t≥2)是单图,均衡Ramsey数B(G1,…,Gt)定义为最小正整数n,使得对于每个N≥n和完全图KN的每个均衡t一边染色KN=H1……Ht(均衡染色指Hi和Hj的边数之差至多为1,1≤i≤j≤t),存在至少一个i,1≤i≤t,图Gi是Hi的子图,本文对某些图得到了均衡Ramsey数。 展开更多
关键词 Ramsey图论 均衡t-染色 均衡Ramsey数
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Adeno-associated virus mediated delivery of Tregitope 167 ameliorates experimental colitis
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作者 Sander van der Marel Anna Majowicz +8 位作者 Karin Kwikkers Richard van Logtenstein Anje A te Velde Anne S De Groot Sybren L Meijer Sander J van Deventer Harald Petry Daniel W Hommes Valerie Ferreira 《World Journal of Gastroenterology》 SCIE CAS CSCD 2012年第32期4288-4299,共12页
AIM:To explore the anti-inflammatory potential of adeno-associated virus-mediated delivery of Tregitope 167 in an experimental colitis model.METHODS:The trinitrobenzene sulfonate(TNBS) model of induced colitis was use... AIM:To explore the anti-inflammatory potential of adeno-associated virus-mediated delivery of Tregitope 167 in an experimental colitis model.METHODS:The trinitrobenzene sulfonate(TNBS) model of induced colitis was used in Balb/c mice.Subsequently after intravenous adeno-associated virusmediated regulatory T-cell epitopes(Tregitope) delivery,acute colitis was initiated by intra-rectal administration of 1.5 mg TNBS in 40% ethanol followed by a second treatment with TNBS(0.75 mg in 20% ethanol) 8 d later.Control groups included mice not treated with TNBS(healthy control group) and mice treated by TNBS only(diseased group).At the time of sacrifice colon weight,the disease activity index and histology damage score were determined.Immunohistochemical staining of the colonic tissues was performed to asses the cellular infiltrate and the presence of transcription factor forkhead Box-P3(Foxp3).Thymus,mesenteric lymph nodes,liver and spleen tissue were collected and the corresponding lymphocyte populations were further assessed by flow cytometry analysis for the expression of CD4+ T cell and regulatory T cell associated markers.RESULTS:The Tregitope 167 treated mice gained an average of 4% over their initial body weight at the time of sacrifice.In contrast,the mice treated with TNBS alone(no Tregitope) developed colitis,and lost 4% of their initial body weight at the time of sacrifice(P < 0.01).The body weight increase that had been observed in the mice pre-treated with Tregitope 167 was substantiated by a lower disease activity index and a decreased colon weight as compared to the diseased control group(P < 0.01 and P < 0.001,respectively).Immunohistochemical staining of the colonic tissues for CD4+ showed that inflammatory cell infiltrates were present in TNBS treated mice with or without administration with tregitope 167 and that these cellular infiltrates consisted mainly of CD4+ cells.For both TNBS treated groups CD4+ T cell infiltrates were observed in the sub-epithelial layer and the lamina propria.CD4+ T cell infiltrates were also present in the muscularis mucosa layer of the diseased control mice,but were absent in the Tregitope 167 treated group.Numerous Foxp3 positive cells were detected in the lamina propria and sub-epithelium of the colon sections from mice treated with Tregitope 167.Furthermore,the Foxp3 and glycoprotein A repetitions predominant markers were significantly increased in the CD4+ T lymphocyte population in the thymus of the mice pre-treated with adeno-associated virus serotype 5(cytomegalovirus promoter-Tregitope 167),as cytomegalovirus promoter compared to lymphocyte populations in the thymus of diseased and the healthy control mice(P < 0.05 and P < 0.001,respectively).CONCLUSION:This study identifies adeno-associated virus-mediated delivery of regulatory T-cell epitope 167 as a novel anti-inflammatory approach with the capacity to decrease intestinal inflammation and induce longterm remission in inflammatory bowel disease. 展开更多
关键词 Adeno-associated virus Regulatory T cell epitope Inflammatory bowel diseases Adeno-associated virus
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