A Petersen brick is a graph whose underlying simple graph is isomorphic to the Petersen graph. For a matching covered graph G, b(G) denotes the number of bricks of G, and p(G) denotes the number of Petersen bricks of G. An ear decomposition of G is optimal if, among all ear decompositions of G, it u
The 2-matching lattice of a graph
β Scribed by Dieter Jungnickel; Matthias Leclerc
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 135 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The matching polynomial of a graph has coefficients that give the number ofmatchings in the graph. For a regular graph, we show it is possible to recover the order, degree, girth and number of minimal cycles from the matching polynomial. If a graph is characterized by its matching polynomial, then i
## Rucidski, A., Matching and covering the vertices of a random graph by copies of a given graph, Discrete Mathematics 105 (1992) 185-197. In this paper we partially answer the question: how slowly must p(n) converge to 0 so that a random graph K(n, p) has property PM, almost surely, where PM, me