λ重完全二部3-一致超图λ^((3))Kn,n分解为超图双三角锥  

Decompositions ofλ-fold Complete Bipartite 3-uniform HypergraphsλK^((3))n,n into Hypergraph Triangular Bipyramid

作　　者：赵红涛[1] 刘志伟 ZHAO Hongtao;LIU Zhiwei(School of Mathematics and Physics,North China Electric Power University,Beijing 102206,China)

机构地区：[1]华北电力大学数理学院,北京102206

出　　处：《广西师范大学学报（自然科学版）》2021年第4期93-98,共6页Journal of Guangxi Normal University:Natural Science Edition

基　　金：国家自然科学基金(11771140)。

摘　　要：本文研究λ重完全二部3-一致超图λK^((3))n,n分解为超图双三角锥(triangular bipyramid,简记为TB)问题,此类分解记作Sλ(3,TB,n,n)。先给出其存在的必要条件6|λn2(n-1),2|λn,且n≥3;然后证明除去n=10,14这2个可能例外值,Sλ(3,TB,n,n)存在的必要条件也是充分的。This paper studies the question of decompositions ofλ-fold complete bipartite 3-uniform hypergraphsλK^((3))n,n into hypergraph triangular bipyramid.This kind of decomposition is denoted by Sλ(3,TB,n,n).Firstly,it is proved that the necessary condition of its existence is 6|λn2(n-1),2|λn and n≥3.Then,it is proved that the necessary conditions are also sufficient except for two possible exceptions of n=10,14.

关 键 词：超图分解 完全二部3-一致超图 双三角锥 超边 基区组 

分 类 号：O157.5[理学—数学]