Pfaffian of a skew symmetric matrix obtained from an undirected graph is used to enumerate the matchings in the graph.
Matching signatures and Pfaffian graphs
✍ Scribed by Alberto Alexandre Assis Miranda; Cláudio Leonardo Lucchesi
- Book ID
- 108114277
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 239 KB
- Volume
- 311
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The matching graph M (G) of a graph G is that graph whose vertices are the maximum matchings in G and where two vertices M 1 and M 2 of M (G) this graph models a metric space whose metric is defined on the set of maximum matchings in G. Which graphs are matching graphs of some graph is not known in
Let G be a graph with a perfect matching and k be an integer such that l~<k< I V(G)l/2. Then G is said to be k-extendable if every matching of size k in G extends to a perfect matching of G. Plummer (1994) proved that every (2k + 1)-connected K~,s-free graph of even order is k-extendable. In this p