It is also shown that for a certain family of graphs (called thistles), the coefficients of the matching polynomial repeat themselves symmetrically. This turns out to be a characterizing property for some thistles.
Citation
E. J. Farrell, S. A. Wahid. A Note On The Characterization Of Thistles By Their Matching Polynomials[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 008. 97-101. DOI: .