Independence and matching number in graphs with maximum degree 4
β Scribed by Joos, Felix
- Book ID
- 121506822
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 376 KB
- Volume
- 323
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Let __C__ be the class of triangleβfree graphs with maximum degree at most three. A lower bound for the number of edges in a graph of __C__ is derived in terms of the number of vertices and the independence. Several classes of graphs for which this bound is attained are given. As coroll
We consider a generalized degree condition based on the cardinality of the neighborhood union of arbitrary sets of r vertices. We show that a Dirac-type bound on this degree in conjunction with a bound on the independence number of a graph is sufficient to imply certain hamiltonian properties in gra