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On “the matching polynomial of a polygraph”

✍ Scribed by H.J. Broersma; Li Xueliang


Book ID
104184463
Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
431 KB
Volume
46
Category
Article
ISSN
0166-218X

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📜 SIMILAR VOLUMES


The matching polynomial of a polygraph
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## Abstract In this paper we report on the properties of the matching polynomial α(__G__) of a graph __G__. We present a number of recursion formulas for α(__G__), from which it follows that many families of orthogonal polynomials arise as matching polynomials of suitable families of graphs. We con

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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