Counting perfect matchings in hexagonal chains
โ Scribed by Peter E. John
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 265 KB
- Volume
- 196
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A general formula is derivedfor the matching polynomial of an arbitrary graph G. This yields a methodfor counting matchings in graphs. From the general formula, explicit formulae are deducedfor the number of k-matchings in several well-known families of graphs.
Given an r-uniform hypergraph H = (V, E ) on ( V ( = n vertices, a real-valued function f(e) 5 1 for all u E V and C e E E f(e) = n/r. Considering a random r-uniform hypergraph process of n vertices, we show that with probability tending to 1 as n + m , at the very moment to when the last isolated
Let G be a bipartite graph in which every edge belongs to some perfect matching, and let D be a subset of its edge set. It is shown that M fl D has the same parity for every perfect matching M if and only if D is a cut, and equivalently if and only. if (G, D) is a balanced signed-graph. This gives n
A perfect matching or a l-factor of a graph G is a spanning subgraph that is regular of degree one. Hence a perfect matching is a set of independent edges which matches all the nodes of G in pairs. Thus in a hypercube parallel processor, the number of perfect matchings evaluates the number of diff