To date, it is unknown whether it is possible to construct a complete graph invariant in polynomial time, so fast algorithms for checking non-isomorphism are important, including heuristic algorithms, and for successf...To date, it is unknown whether it is possible to construct a complete graph invariant in polynomial time, so fast algorithms for checking non-isomorphism are important, including heuristic algorithms, and for successful implementations of such heuristics, both the tasks of some modification of previously described graph invariants and the description of new invariants remain relevant. Many of the described invariants make it possible to distinguish a larger number of graphs in the real time of a computer program. In this paper, we propose an invariant for a special kind of directed graphs, namely, for tournaments. The last ones, from our point of view, are interesting because when fixing the order of vertices, the number of different tournaments is exactly equal to the number of undirected graphs, also with fixing the order of vertices. In the invariant we are considering, all possible tournaments consisting of a subset of vertices of a given digraph with the same set of arcs are iterated over. For such subset tournaments, the places are calculated in the usual way, which are summed up to obtain the final values of the points of the vertices;these points form the proposed invariant. As we expected, calculations of the new invariant showed that it does not coincide with the most natural invariant for tournaments, in which the number of points is calculated for each participant. So far, we have conducted a small number of computational experiments, and the minimum value of the pair correlation between the sequences representing these two invariants that we found is for dimension 15.展开更多
运用文献资料法、逻辑分析法,以Web of science核心合集数据库以及Google Scholar收录的26篇极限飞盘比赛相关的文献为研究对象,梳理国外有关极限飞盘比赛的研究。研究发现,国外极限飞盘在研究内容上主要集中在极限飞盘项目特征及运动...运用文献资料法、逻辑分析法,以Web of science核心合集数据库以及Google Scholar收录的26篇极限飞盘比赛相关的文献为研究对象,梳理国外有关极限飞盘比赛的研究。研究发现,国外极限飞盘在研究内容上主要集中在极限飞盘项目特征及运动员体能、极限飞盘运动员损伤、极限飞盘比赛技术统计、极限飞盘技术动作运动生物力学分析等方面。认为极限飞盘比赛要求运动员具备得分时的无氧爆发力以及在攻防过程中的有氧持续能力,是一项技战术复杂多变,对运动员体能和心智、团队协作能力要求较高的项目;在比赛过程中的运动损伤主要是运动员之间直接接触造成的,最常见的身体损伤部位为下肢;比赛球员数据统计、球队数据统计已是国外极限飞盘研究的重点;采用运动生物力学分析极限飞盘比赛时的技术动作能帮助队伍在比赛中获利。展开更多
Let T=(V,A)be a tournament of order n and T_i,…,T_m be diconnectedcomponents in T.If uv ∈A and P is a directed path of length k-1(k≥3)from u to v,We call P ∪{uv}a 1-antidirected cycle of length k.Let k be an integ...Let T=(V,A)be a tournament of order n and T_i,…,T_m be diconnectedcomponents in T.If uv ∈A and P is a directed path of length k-1(k≥3)from u to v,We call P ∪{uv}a 1-antidirected cycle of length k.Let k be an integer satisfying 3≤k≤n.If every arc e∈A is contained in a 1-antidirected cycle of length k,we will refer toT as arc k 1-antidirected cyclic.If T is arc k 1-antidirected cyclic for k=3,4,…,n,T iscalled arc 1-antidirected pancyclic.In this paper,we prove that T is arc 1-antidirectedpancyclic if and only if T satisfies one of the following conditions:(i)2≤m≤3 and forany T_i,every arc e∈T_i is contained in a Hamilton path in T_i;(ii)m=1,except some spe-cial tournaments which are to be shown.展开更多
In this paper, we present a new sufficient condition on degrees for a bipartite tournament to be Hamiltonian, that is, if an n × n bipartite tournament T satisfies the condition W（n - 3）, then T is Hamiltonian,...In this paper, we present a new sufficient condition on degrees for a bipartite tournament to be Hamiltonian, that is, if an n × n bipartite tournament T satisfies the condition W（n - 3）, then T is Hamiltonian, except for four exceptional graphs. This result is shown to be best possible in a sense.展开更多
Scheduling sports leagues has drawn significant attention to itself in recent years, as it involves considerable revenue as well as challenging combinatorial optimization problems. A particular class of these problems...Scheduling sports leagues has drawn significant attention to itself in recent years, as it involves considerable revenue as well as challenging combinatorial optimization problems. A particular class of these problems is the Traveling Tournament Problem (TTP) which focuses on minimizing the total traveling distance for teams. In this paper, an efficient simulated annealing approach is presented for TTP which applies two simultaneous and disparate models for the problem in order to search the solutions space more effectively. Also, a computationally efficient modified greedy scheme is proposed for constructing a favorable initial solution for the simulated annealing algorithm. Our computational experiments, carried out on standard instances, demonstrate that this approach competes with previous offered methods in quality of found solutions and their computational time.展开更多
The Sports Garbage Pickup Tournament is a sports event that incorporates elements of competition into cleaning activities,as opposed to traditional cleaning activities.As of the end of December 2016,a total of 552 Spo...The Sports Garbage Pickup Tournament is a sports event that incorporates elements of competition into cleaning activities,as opposed to traditional cleaning activities.As of the end of December 2016,a total of 552 Sports Garbage Pickup Tournaments have been held,mobilizing a cumulative total number of 62,989 people.As each tournament brings a revenue of over 300,000 yen,the total sales so far would be more than 165,000,000 yen.This game was recently reported on the International Olympic Committee channel.The garbage issue,a social problem for local communities,should be solved by residents,visitors,and workers themselves through sports,cooperating with local governments.This is an eco-friendly sport aimed at“solving local social problems through sports.”Sports Garbage Pickup Tournaments can be held anywhere,inside the city or in a natural environment.In addition,the competition allows participants to visually understand the environmental capacity of garbage produced in the community,as the points are weighted according to the types of garbage.The Sports Garbage Pickup Tournament is an educational program for sustainable development with emphasis on experience,pursuit,and practice,and also an action-based program aimed at promoting spontaneous action.This is an optimal competition for participants to acquire skills through mutual communication.As children,adults,and people with disabilities can play together,the competition will promote communication across the generations.展开更多
The exploitation and utilization of the tour resources of tournament athletics, including skiling, boat sailing, archery, ice engraving, snow engrav ing, has become a new trend of the development of Chinese tourism. D...The exploitation and utilization of the tour resources of tournament athletics, including skiling, boat sailing, archery, ice engraving, snow engrav ing, has become a new trend of the development of Chinese tourism. Due to the un ique cold climate and superior geographic location,Harbin is a promising city f or developing tour resources of tournament athletics. Based on the analysis of t he superiority and peculiarity of Harbin,the speculation on development of tour resources of tournament athletics in Harbin is proposed as follows:1) Harbin s hould develop its special tour resources of tournament athletics associated with needs of market; 2) Harbin should take the advantages of rich resources and dev elop ice and snow entertainment in winter and travel for sight-seeing and spend ing summer; 3) the adjustment of the layout of ice and snow resources should be based on the idea of taking Harbin as the center and all-side opening at the la rge scale in the way of radiation; 4) tourism should be developed by the combine d efforts of various departments to make feasible plan, and the organizers shoul d pay much attention to ensuring the safety of tourists.展开更多
文摘To date, it is unknown whether it is possible to construct a complete graph invariant in polynomial time, so fast algorithms for checking non-isomorphism are important, including heuristic algorithms, and for successful implementations of such heuristics, both the tasks of some modification of previously described graph invariants and the description of new invariants remain relevant. Many of the described invariants make it possible to distinguish a larger number of graphs in the real time of a computer program. In this paper, we propose an invariant for a special kind of directed graphs, namely, for tournaments. The last ones, from our point of view, are interesting because when fixing the order of vertices, the number of different tournaments is exactly equal to the number of undirected graphs, also with fixing the order of vertices. In the invariant we are considering, all possible tournaments consisting of a subset of vertices of a given digraph with the same set of arcs are iterated over. For such subset tournaments, the places are calculated in the usual way, which are summed up to obtain the final values of the points of the vertices;these points form the proposed invariant. As we expected, calculations of the new invariant showed that it does not coincide with the most natural invariant for tournaments, in which the number of points is calculated for each participant. So far, we have conducted a small number of computational experiments, and the minimum value of the pair correlation between the sequences representing these two invariants that we found is for dimension 15.
文摘运用文献资料法、逻辑分析法,以Web of science核心合集数据库以及Google Scholar收录的26篇极限飞盘比赛相关的文献为研究对象,梳理国外有关极限飞盘比赛的研究。研究发现,国外极限飞盘在研究内容上主要集中在极限飞盘项目特征及运动员体能、极限飞盘运动员损伤、极限飞盘比赛技术统计、极限飞盘技术动作运动生物力学分析等方面。认为极限飞盘比赛要求运动员具备得分时的无氧爆发力以及在攻防过程中的有氧持续能力,是一项技战术复杂多变,对运动员体能和心智、团队协作能力要求较高的项目;在比赛过程中的运动损伤主要是运动员之间直接接触造成的,最常见的身体损伤部位为下肢;比赛球员数据统计、球队数据统计已是国外极限飞盘研究的重点;采用运动生物力学分析极限飞盘比赛时的技术动作能帮助队伍在比赛中获利。
文摘Let T=(V,A)be a tournament of order n and T_i,…,T_m be diconnectedcomponents in T.If uv ∈A and P is a directed path of length k-1(k≥3)from u to v,We call P ∪{uv}a 1-antidirected cycle of length k.Let k be an integer satisfying 3≤k≤n.If every arc e∈A is contained in a 1-antidirected cycle of length k,we will refer toT as arc k 1-antidirected cyclic.If T is arc k 1-antidirected cyclic for k=3,4,…,n,T iscalled arc 1-antidirected pancyclic.In this paper,we prove that T is arc 1-antidirectedpancyclic if and only if T satisfies one of the following conditions:(i)2≤m≤3 and forany T_i,every arc e∈T_i is contained in a Hamilton path in T_i;(ii)m=1,except some spe-cial tournaments which are to be shown.
文摘In this paper, we present a new sufficient condition on degrees for a bipartite tournament to be Hamiltonian, that is, if an n × n bipartite tournament T satisfies the condition W（n - 3）, then T is Hamiltonian, except for four exceptional graphs. This result is shown to be best possible in a sense.
文摘Scheduling sports leagues has drawn significant attention to itself in recent years, as it involves considerable revenue as well as challenging combinatorial optimization problems. A particular class of these problems is the Traveling Tournament Problem (TTP) which focuses on minimizing the total traveling distance for teams. In this paper, an efficient simulated annealing approach is presented for TTP which applies two simultaneous and disparate models for the problem in order to search the solutions space more effectively. Also, a computationally efficient modified greedy scheme is proposed for constructing a favorable initial solution for the simulated annealing algorithm. Our computational experiments, carried out on standard instances, demonstrate that this approach competes with previous offered methods in quality of found solutions and their computational time.
文摘The Sports Garbage Pickup Tournament is a sports event that incorporates elements of competition into cleaning activities,as opposed to traditional cleaning activities.As of the end of December 2016,a total of 552 Sports Garbage Pickup Tournaments have been held,mobilizing a cumulative total number of 62,989 people.As each tournament brings a revenue of over 300,000 yen,the total sales so far would be more than 165,000,000 yen.This game was recently reported on the International Olympic Committee channel.The garbage issue,a social problem for local communities,should be solved by residents,visitors,and workers themselves through sports,cooperating with local governments.This is an eco-friendly sport aimed at“solving local social problems through sports.”Sports Garbage Pickup Tournaments can be held anywhere,inside the city or in a natural environment.In addition,the competition allows participants to visually understand the environmental capacity of garbage produced in the community,as the points are weighted according to the types of garbage.The Sports Garbage Pickup Tournament is an educational program for sustainable development with emphasis on experience,pursuit,and practice,and also an action-based program aimed at promoting spontaneous action.This is an optimal competition for participants to acquire skills through mutual communication.As children,adults,and people with disabilities can play together,the competition will promote communication across the generations.
文摘The exploitation and utilization of the tour resources of tournament athletics, including skiling, boat sailing, archery, ice engraving, snow engrav ing, has become a new trend of the development of Chinese tourism. Due to the un ique cold climate and superior geographic location,Harbin is a promising city f or developing tour resources of tournament athletics. Based on the analysis of t he superiority and peculiarity of Harbin,the speculation on development of tour resources of tournament athletics in Harbin is proposed as follows:1) Harbin s hould develop its special tour resources of tournament athletics associated with needs of market; 2) Harbin should take the advantages of rich resources and dev elop ice and snow entertainment in winter and travel for sight-seeing and spend ing summer; 3) the adjustment of the layout of ice and snow resources should be based on the idea of taking Harbin as the center and all-side opening at the la rge scale in the way of radiation; 4) tourism should be developed by the combine d efforts of various departments to make feasible plan, and the organizers shoul d pay much attention to ensuring the safety of tourists.
