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arxiv: 1011.0284 · v3 · pith:XLGVJP7Fnew · submitted 2010-11-01 · 🧮 math.CO

Graphs with few matching roots

classification 🧮 math.CO
keywords graphsmatchingconsequencedeterminedetermineddistinctfamiliesfind
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We determine all graphs whose matching polynomials have at most five distinct zeros. As a consequence, we find new families of graphs which are determined by their matching polynomial.

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