Graph Classes Generated by Mycielskians

In this paper we use the classical notion of weak Mycielskian M′(G) of a graph G and the following sequence: M′0(G) = G, M′1(G) = M′(G), and M′n(G) = M′(M′n−1(G)), to show that if G is a complete graph of order p, then the above sequence is a generator of the class of p-colorable graphs. Similarly,...

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Bibliographic Details
Main Authors: Borowiecki Mieczys law, Borowiecki Piotr, Drgas-Burchardt Ewa, Sidorowicz Elżbieta
Format: Article
Language:English
Published: Sciendo 2020-11-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2345