Algebraic Graph Theory Seminar - Hamed KaramiExport this event to calendar

Monday, March 1, 2021 — 11:30 AM EST

Title: Perfect Colorings of the Generalized Petersen Graphs

Speaker: Hamed Karami
Affiliation: Iran University of Science and Technology
Zoom: Contact Soffia Arnadottir

Abstract:

For a graph G and an integer m, a mapping T:V(G) -> {1,...,m} is called a perfect m-coloring with matrix A=(a_ij), i,j \in {1,...,m}, if it is surjective, and for all i,j, for every vertex of color i, the number of its neighbors of color j is equal to a_ij. There is another term for this concept in literature as "equitable partition". In this talk, we present some important results about enumerating parameter matrices of all perfect 2-colorings and perfect 3-colorings of generalized Petersen graphs GP(n,k).

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