Graph Polynomial: An algebraic expression that encodes key combinatorial properties of a graph. Tutte Polynomial: A two-variable polynomial invariant capturing a wide range of graph properties ...

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Abstract.Let 𝐺 be a simple graph of order 𝑛. The domination polynomial of 𝐺 is the polynomial D (G,x)= ∑ i=0 n d (G,i) x i , where 𝑑 (𝐺,𝑖) is the number of dominating sets of 𝐺 of size 𝑖. Let ...