Application of the Maximum Real Roots of Matching Polynomial

  • Youfu Qiao
  • Fuqin Zhan
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7030)


To discuss the matching uniqueness of the simple undirected graph G. To find the necessary and sufficient conditions for the matching uniqueness of T(a,b,c). Use the maximum real roots, and the properties of matching polynomials to compute. For n ≥ 5, T(1,5,n) and its complement are matching uniqueness if and only if n ≠ 5,8 and 15.


Matching polynomial Matching equivalence Matching uniqueness The maximum real roots 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Youfu Qiao
    • 1
  • Fuqin Zhan
    • 1
  1. 1.Department of MathematicsHechi UniversityYizhouChina

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