On the saturation spectrum of odd cycles

Author:

Gould Ronald J.1ORCID,Kündgen André2ORCID,Kang Minjung2ORCID

Affiliation:

1. Department of Mathematics Emory University Atlanta Georgia USA

2. Department of Mathematics California State University San Marcos San Marcos California USA

Abstract

AbstractGiven a graph , we say that a graph is ‐saturated if is not a subgraph of , but the addition of any new edge to creates at least one copy of . In this paper we determine all pairs for which there is a ‐saturated graph on vertices and edges. In addition, we determine all but possible sizes for ‐vertex ‐saturated graphs when is an odd cycle for .

Publisher

Wiley

Subject

Geometry and Topology,Discrete Mathematics and Combinatorics

Reference14 articles.

1. The edge spectrum of K4 ${K}_{4}$‐saturated graphs;Amin K.;J. Combin. Math. Combin. Comput,2012

2. On the non‐(p−1) $(p-1)$‐partite Kp ${K}_{p}$‐free graphs;Amin K.;Discuss. Math. Graph Theory,2013

3. Minimum C5 ${C}_{5}$ ‐saturated graphs;Chen Y.‐C.;J. Graph Theory,2009

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