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Academic Report of SMS 2021-34

TitleOn DP-degree-coloring outerplanar graphs

 

Abstract:In this lecture, we will introduce the DP-coloring which is the generalization of a list coloring. In 2008, Hutchinson showed that if a 2-connected bipartite outerplanar graph G with a list of colors L(v) for each vertex v such that |L(v)| ≥ min{d(v), 4}, then G is L-colorable and if a maximal outerplanar graph G with at least four vertices having a list of colors L(v) for each vertex v such that |L(v)| ≥ min{d(v), 5}, then G is L-colorable. We want to know whether the bounds of Hutchinson’s results hold for DP-coloring or not. In this talk, we give the first one is a negative answer and the second one is a positive answer.

Speaker:Tianjiao Dai,University Paris-Sud,mainly works on graph coloring, extremal graph theory and Hamiltonian cycles. Her results aremainly published on Discrete Mathematics etc..

 

Date:2:00pm-5:00pm 2021-5-13日(Thursday).

Tencent Meeting ID: 832 786 786

 

Organizer:School of Mathematical Science

Students and teachers who are interested in graph theory are welcome.


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