Classic Papers in Combinatorics || A Characterization of Perfect Graphs
✍ Scribed by Gessel, Ira; Rota, Gian-Carlo
- Book ID
- 118168054
- Publisher
- Birkhäuser Boston
- Year
- 2009
- Weight
- 671 KB
- Category
- Article
- ISBN
- 0817648429
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📜 SIMILAR VOLUMES
Let u(G) and i(G) be the domination number and independent domination number of a graph G. respectively. Sumner and Moore [8] define a graph G to be domination perfect if y( H) = i( H), for every induced subgraph H of G. In this article, we give a finite forbidden induced subgraph characterization o
## Abstract A b‐coloring is a coloring of the vertices of a graph such that each color class contains a vertex that has a neighbor in all other color classes, and the b‐chromatic number of a graph __G__ is the largest integer __k__ such that __G__ admits a b‐coloring with __k__ colors. A graph is b
Let G be a plane bipartite graph which admits a perfect matching and with distinguished faces called holes. Let MG denote the perfect matchings graph: its vertices are the perfect matchings of G, two of them being joined by an edge, if and only if they di er only on an alternating cycle bounding a f