2019 Colored graph homomorphisms
Colton Magnant, Chunwei Song, Suman Xia
Rocky Mountain J. Math. 49(8): 2717-2737 (2019). DOI: 10.1216/RMJ-2019-49-8-2717

Abstract

In this paper we investigate some colored notions of graph homomorphisms. We compare three different notions of colored homomorphisms and determine the number of such homomorphisms between several classes of graphs. More specifically, over all possible colorings of paths, we consider the colorings that yields the largest and smallest number of colored homomorphisms.

Citation

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Colton Magnant. Chunwei Song. Suman Xia. "Colored graph homomorphisms." Rocky Mountain J. Math. 49 (8) 2717 - 2737, 2019. https://doi.org/10.1216/RMJ-2019-49-8-2717

Information

Published: 2019
First available in Project Euclid: 31 January 2020

zbMATH: 07163194
MathSciNet: MR4058345
Digital Object Identifier: 10.1216/RMJ-2019-49-8-2717

Subjects:
Primary: 05A15 , 05C15 , 05C60 , 05D99 , 51A10

Keywords: colored homomorphism , extremal family , graph homomorphisms

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

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Vol.49 • No. 8 • 2019
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