Graphs with Integer Matching Polynomial Roots

نویسندگان

  • S. Akbari
  • P. Csíkvári
  • A. Ghafari
  • S. Khalashi Ghezelahmad
  • M. Nahvi
چکیده

In this paper, we study graphs with integer matching polynomial roots. We characterize all traceable graphs whose all matching polynomial roots are integer. We show that there is no k-regular claw-free graph (k ≥ 2), whose all matching polynomial roots are integer. Also we conjecture that apart from K7 \ (E(C3) ∪E(C4)), there is no matching integral k-regular graph (k ≥ 2). 2010 Mathematics Subject Classification: 05C31, 05C45, 05C70, 05E99.

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عنوان ژورنال:
  • CoRR

دوره abs/1608.00782  شماره 

صفحات  -

تاریخ انتشار 2016