Computational algorithms are described which provide for constructing the set of associated edgeweighted directed graphs such that the average of the characteristic polynomials of the edge-weighted graphs gives the matching polynomial of the parent graph. The weights were chosen to be unities or pur
A polynomial transform for matching pairs of weighted graphs
β Scribed by H.A. Almohamad
- Book ID
- 103704910
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 679 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0307-904X
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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
Discrete Mathematics 3X ( 19X2) 6S-71 North-Holland Publishing Company 65 Let G = (V, E) be a graph with a positive number wt(v) assigned to each L' E V. A weighted clique saver of the vertices of G is a collection of cliques with a non-negative weight yC. assigned to each clique C in the collection
This survey paper reviews results on heuristics for two weighted matching problems: matchings where the vertices are points in the plane and weights are Euclidean distances, and the assignment problem. Several heuristics are described in detail-and results are given for worst-case ratio bounds, abso