## 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
Triangle-free eulerian tours in graphs with maximum degree at most 4
β Scribed by Tobias Adelgren
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 351 KB
- Volume
- 138
- Category
- Article
- ISSN
- 0012-365X
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A simple polynomial-time algorithm is presented which computes independent sets of guaranteed size in connected triangle-free noncubic graphs with maximum degree 3. Let nand m denote the number of vertices and edges, respectively, and let c '= m/n denote the edge density where c < 3/2. The algorithm