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math.CO2017★ 1 cited
One more remark on the adjoint polynomial
Ferenc Bencs
The adjoint polynomial of is \[h(G,x)=\sum_{k=1}^n(-1)^{n-k}a_k(G)x^k,\] where denotes the number of ways one can cover all vertices of the graph by exactly di…
math.CO2017★ 3 cited
On trees with real rooted independence polynomial
Ferenc Bencs
The independence polynomial of a graph is \[I(G,x)=\sum\limits_{k\ge 0}i_k(G)x^k,\] where denotes the number of independent sets of of size (note that $i_0(G)=…