Article ID Journal Published Year Pages File Type
4646742 Discrete Mathematics 2016 6 Pages PDF
Abstract

For any set SS of positive integers, a mixed hypergraph HH is a one-realization of SS if its feasible set is SS and each entry of its chromatic spectrum is either 0 or 1. In this paper, we focus on several special kinds of one-realizations of a given set SS and get the following results: each colorable mixed hypergraph can be embedded into a one-realization of SS; there exist one-realizations of SS which are CC-perfect; furthermore, for any positive integer kk, there exists a one-realization HH of SS with αC(H)−χ¯(H)>k.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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