10-12【宝音都仍】五教5101 图论组合系列报告

时间:2024-10-11


报告题目:Odd induced subgraphs in a graph


报告人:宝音都仍 教授,新疆大学


报告地点:五教5101


报告时间:10月12日 上午9:20-10:00


摘要:


A graph G is called even (resp. odd) if dG(v) is even (resp. odd) for every vertex v  V (G). Gallai proved that the

vertex set V (G) can be partitioned into two sets V1 and V2 such that G[Vi] is even for each i  {1, 2}. This is not 

the case for the formulation of the odd version. However, Scott showed that every connected graph of an 

even order have a partition V1, . . . , Vk of V (G) such that G[Vi] is odd for any i  {1, . . . , k}. In this talk, we discuss

 some new results on this topics.