ON TOURNAMENTS OF SMALL ORDERS AND THEIR APPLICATIONS  

作　　者：ZHOUGuofei ZHANGKemin 

机构地区：[1]DepartmentofMathematics,NanjingUniversity,Nanjing210093 DepartmentofMatheraatics,AnqingTeachers'Gollege,Anqing246011,Ghina [2]DepartmentofMathematics,NanjingUniversity,Nanjing210093,Ghina

出　　处：《Journal of Systems Science & Complexity》2003年第4期475-482,共8页系统科学与复杂性学报（英文版）

摘　　要：In this paper, we generate all nonisomorphic tournaments of order at mostnine, all nonisomorphic almost regular tournaments of order 10 and all nonisomorphic regulartournaments of order 11. For each of these tournaments, we have given its score-list, connectivity,diameter, the minimal number of feedbacks, automorphisms and spectra. Moreover, we have verified thewell-known Kelly's Conjecture for n = 2k + 1 ≤ 11. And we also determine the n-universaltournaments for n ≤ 6. However, several related results are given and some related open problemsare raised.

关 键 词：TOURNAMENTS APPLICATIONS 

分 类 号：O157.5[理学—数学]