On circular-perfect graphs: A survey

نویسندگان

چکیده

Circular-perfect graphs form a natural superclass of perfect graphs, introduced by Zhu almost 20 years ago: on the one hand due to their definition means more general coloring concept, other as an important class χ-bound with smallest non-trivial χ-binding function χ(G)≤ω(G)+1. In this paper, we survey results about circular-perfect obtained in two last decades, focus whether fascinating properties can be extended superclass. We recall deep algorithmic and underlying polyhedral graph theory, order outline setting main parameters that are also related graphs. Finally, give list open problems.

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ژورنال

عنوان ژورنال: European Journal of Combinatorics

سال: 2021

ISSN: ['1095-9971', '0195-6698']

DOI: https://doi.org/10.1016/j.ejc.2020.103224