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arxiv: 1309.3178 · v1 · pith:R6JQLLIDnew · submitted 2013-09-12 · 🧮 math.CO

The Hosoya polynomial of distance-regular graphs

classification 🧮 math.CO
keywords hosoyapolynomialdistance-regularformulagraphobtainarrayconsequence
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In this note we obtain an explicit formula for the Hosoya polynomial of any distance-regular graph in terms of its intersection array. As a consequence, we obtain a very simple formula for the Hosoya polynomial of any strongly regular graph.

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