QA510 : Study of no-homomorphism conditions in hypergaphs
Thesis > Central Library of Shahrood University > Mathematical Sciences > MSc > 2019
Authors:
Abstarct: In this dissertation, we introduced some new hypergraph homorphism-monotone parameters. Using this parameters, we investigate the existence of hypergraph homomorphism between two hypergraphs. In this regard, introducing some new necessary conditions for the existence of hypergraph homomorphism, we improve upon some coloring hypergraphs results and also present some new results in this area. In particular, generalizing a result for Kneser graphs, we prove that the chromatic number and circular chromatic number of generalized Kneser hypergraphs are equal if its number of vertices is sufficiently large..
Keywords:
#Hypergraph #Homomorphism #Circular chromatic number #Free chromatic number #Fractional chromatic number #Sum coloring #Vertex and Edge transitive hypergraph. Link
Keeping place: Central Library of Shahrood University
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Keeping place: Central Library of Shahrood University
Visitor: