Monday, April 3, 2023

Monday, April 3, 2023 11:30 to 11:30 AM EDT

Title: Four types of integrality on mixed Cayley graphs over abelian groups

Speaker: Monu Kadyan Affiliation: Indian Institute of Technology Guwahati Location: Please contact Sabrina Lato for Zoom link

Abstract: A mixed graph is called H-integral (resp. HS-integral) if the eigenvalues of its Hermitian-adjacency matrix (resp. Hermitian-adjacency matrix of second kind) are integers.

Monday, April 3, 2023 3:00 PM EDT

Title: The heroes of digraphs: coloring digraphs with forbidden induced subgraphs

Speaker: Alvaro Carbonero Affiliation: University of Waterloo Location: MC 5479

Abstract: The chromatic number is one of the most studied graph invariants in graph theory. $\chi$-boundedness, for instance, studies the induced subgraphs present in graphs with large chromatic number and small clique number. Neumann-Lara introduced an analog directed version of this graph invariant: the dichromatic number of digraphs.

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