
doi: 10.3390/math3040945
The reformulated Zagreb indices of a graph are obtained from the classical Zagreb indices by replacing vertex degrees with edge degrees, where the degree of an edge is taken as the sum of degrees of the end vertices of the edge minus 2. In this paper, we study the behavior of the reformulated first Zagreb index and apply our results to different chemically interesting molecular graphs and nano-structures.
Extremal problems in graph theory, Connectivity, Graph operations (line graphs, products, etc.), Applications of graph theory, reformulated Zagreb indices, Vertex degrees, Molecular structure (graph-theoretic methods, methods of differential topology, etc.), vertex degree, Zagreb indices, QA1-939, topological index, Mathematics, graph operations
Extremal problems in graph theory, Connectivity, Graph operations (line graphs, products, etc.), Applications of graph theory, reformulated Zagreb indices, Vertex degrees, Molecular structure (graph-theoretic methods, methods of differential topology, etc.), vertex degree, Zagreb indices, QA1-939, topological index, Mathematics, graph operations
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