Mathematical Sciences: Faculty Publications
Results and Problems on Saturation Numbers for Linear Forests
Document Type
Article
Publication Date
2015
Publication Title
Bulletin of the Institute of Combinatorics and its Applications
Abstract
A graph G is called H-saturated if G contains no copy of H, but for any edge e in the complement of G, the graph G + e contains some copy of H. The minimum size of an n-vertex H-saturated graph is denoted by sat(n,H) and is called the saturation number of H. In [?], Kászonyi and Tuza determined the values of sat(n,H) when H is a path or a disjoint union of edges. In this paper, we determine the values of sat(n,H) for the disjoint union of paths (a linear forest) within a constant depending only on H . Moreover, we obtain exact values for some special classes and include several conjectures.
Recommended Citation
Chen, Guantao, Jill R. Faudree, Ralph J. Faudree, Ronald Gould, Michael S. Jacobson, Colton Magnant.
2015.
"Results and Problems on Saturation Numbers for Linear Forests."
Bulletin of the Institute of Combinatorics and its Applications, 75: 29-46.
source: https://pdfs.semanticscholar.org/5196/f053211ffc0b68685325fb3dcf82f6f69b09.pdf
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/583
Copyright
This work is archived and distributed under the repository's Standard Copyright and Reuse License (opens in new tab). End users may copy, store, and distribute this work without restriction. For all other uses, permission must be obtained from the copyright owners or their authorized agents.
