A graph G is quasi-brittle if every induced subgraph H of G contains a vertex which is incident to no edge extending symmetrically to a chordless path with three edges in either H or its complement 8. The quasi-britiie graphs turn out to be a natural generalization of the well-known class of brittle
New properties of perfectly orderable graphs and strongly perfect graphs
✍ Scribed by Chính T. Hoàng; Frédéric Maffray; Myriam Preissmann
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 893 KB
- Volume
- 98
- Category
- Article
- ISSN
- 0012-365X
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In 1981, Chvatal defined the class of perfectly orderable graphs. This class of perfect graphs contains the comparability graphs and the triangulated graphs. In this paper, we introduce four classes of perfectly orderable graphs, including natural generalizations of the comparability and triangulate
A graph is called "perfectly orderable" if its vertices can be ordered in such a way that, for each induced subgraph F, a certain "greedy" coloring heuristic delivers an optimal coloring of F. No polynomial-time algorithm to recognize these graphs is known. We present four classes of perfectly order
## Abstract The study of perfectness, via the strong perfect graph conjecture, has given rise to numerous investigations concerning the structure of many particular classes of perfect graphs. In “Perfect Product Graphs” (__Discrete Mathematics__, Vol. 20, 1977, pp. 177‐‐186), G. Ravindra and K. R.
## Abstract We apply symmetric balanced generalized weighing matrices with zero diagonal to construct four parametrically new infinite families of strongly regular graphs. © 2003 Wiley Periodicals, Inc. J Combin Designs 11: 208–217, 2003; Published online in Wiley InterScience (www.interscience.wil