Dominatind sets and domination polynomials of certain graphs. II

On coefficients of edge domination polynomial of a graph

“…We shall prove the result in a graph with n edges. By Theorem 2.5, To prove our next result, we make use of the following Theorem [2].…”

“…is number of dominating sets of G of cardinality t. Domination polynomial was initiated by Arocha et al [4] and later studied by Alikhani et al [1], [2] and [3]. Analogously, edge domination polynomial was studied by Askari et al [5].…”

Vertex Connected Domination Polynomial of some Coalescence of Complete and Wheel Graphs

“…And the connected dominating set and connected domination polynomial was introduced in [9]. For more information and motivation of domination polynomial and connected domination polynomial refer to [1,2,3,4,7,10,11,13,14,15].…”

Convex subgraph polynomials of the join and the composition of graphs

“…The desire to make a similar study on the work of the authors in [2,4,5,8] on graphs polynomials motivated the researchers to try this investigation.…”