On the first general Zagreb eccentricity index
Copyright policy )On the first general Zagreb eccentricity index
In a graph <i>G</i>, the distance between two vertices is the length of the shortest path between them. The maximum distance between a vertex to any other vertex is considered as the eccentricity of the vertex. In this paper, we introduce the first general Zagreb eccentricity index and found upper and lower bounds on this index in terms of order, size and diameter. Moreover, we characterize the extremal graphs in the class of trees, trees with pendant vertices and bipartite graphs. Results on some famous topological indices can be presented as the corollaries of our main results.
- United Arab Emirates University United Arab Emirates
- Government College University, Lahore Pakistan
- Riphah International University Pakistan
- Universiti Malaysia Terengganu Malaysia
extremal graphs, FOS: Political science, Eccentric Connectivity Index, FOS: Law, Mathematical analysis, Graph, Upper and lower bounds, FOS: Chemical sciences, first general Zagreb eccentricity index, QA1-939, FOS: Mathematics, Eccentricity (behavior), Political science, Bipartite graph, first general zagreb eccentricity index, Distance in graphs, Chemical graph theory, Graph Spectra and Topological Indices, Aromaticity in Organic Molecules and Materials, Organic Chemistry, Molecular structure (graph-theoretic methods, methods of differential topology, etc.), Discrete mathematics, Vertex (graph theory), Chemistry, Graphical indices (Wiener index, Zagreb index, Randić index, etc.), eccentricity of vertices, Predicting Antioxidant Activity of Phenolic Compounds, Combinatorics, Physical Sciences, Geometry and Topology, Topological index, Law, Mathematics
extremal graphs, FOS: Political science, Eccentric Connectivity Index, FOS: Law, Mathematical analysis, Graph, Upper and lower bounds, FOS: Chemical sciences, first general Zagreb eccentricity index, QA1-939, FOS: Mathematics, Eccentricity (behavior), Political science, Bipartite graph, first general zagreb eccentricity index, Distance in graphs, Chemical graph theory, Graph Spectra and Topological Indices, Aromaticity in Organic Molecules and Materials, Organic Chemistry, Molecular structure (graph-theoretic methods, methods of differential topology, etc.), Discrete mathematics, Vertex (graph theory), Chemistry, Graphical indices (Wiener index, Zagreb index, Randić index, etc.), eccentricity of vertices, Predicting Antioxidant Activity of Phenolic Compounds, Combinatorics, Physical Sciences, Geometry and Topology, Topological index, Law, Mathematics
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