On Hosoya Index and Merrifield‐Simmons Index of trees with given domination number
Copyright policy )On Hosoya Index and Merrifield‐Simmons Index of trees with given domination number
AbstractThe Hosoya index and the Merrifield‐Simmons index are two important molecular descriptors in chemical graph theory. The Hosoya index is defined as the total number of matchings of the graph and the Merrifield‐Simmons index is defined as the total number of independent sets of the graph. In this paper, the author obtains the extremal values of the Hosoya index and the Merrifield‐Simmons index of trees with given domination number.
- Selçuk University Turkey
Chemical graph theory, domination number, Merrifield-Simmons index, Molecular structure (graph-theoretic methods, methods of differential topology, etc.), Enumeration in graph theory, Trees, tree, Graphical indices (Wiener index, Zagreb index, Randić index, etc.), Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.), subtree, topological index, Hosoya index
Chemical graph theory, domination number, Merrifield-Simmons index, Molecular structure (graph-theoretic methods, methods of differential topology, etc.), Enumeration in graph theory, Trees, tree, Graphical indices (Wiener index, Zagreb index, Randić index, etc.), Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.), subtree, topological index, Hosoya index
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