On the Non-(p−1)-Partite Kp-Free Graphs

We say that a graph G is maximal Kp-free if G does not contain Kp but if we add any new edge e ∈ E(G) to G, then the graph G + e contains Kp. We study the minimum and maximum size of non-(p − 1)-partite maximal Kp-free graphs with n vertices. We also answer the interpolation question: for which valu...

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Bibliographic Details
Main Authors: Amin Kinnari, Faudree Jill, Gould Ronald J., Sidorowicz Elżbieta
Format: Article
Language:English
Published: Sciendo 2013-03-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1654