Extremum Modified First Zagreb Connection Index ofn-Vertex Trees with Fixed Number of Pendent Vertices
Copyright policy )Extremum Modified First Zagreb Connection Index ofn-Vertex Trees with Fixed Number of Pendent Vertices
The modified first Zagreb connection indexZC1∗is a graph invariant that appeared about fifty years ago within a study of molecular modeling, and after a long time, it has been revisited in two papers ((Ali and Trinajstić, 2018) and (Naji et al., 2017)) independently. For a graphG, this graph invariant is defined asZC1∗G=∑v∈VGdvτv, wheredvis the degree of the vertexvandτvis the connection number ofv(that is, the number of vertices having distance 2 fromv). In this paper, the graphs with maximum/minimumZC1∗value are characterized from the class of alln-vertex trees with fixed number of pendent vertices (that are the vertices of degree 1).
- University of Management and Technology Pakistan
- University of Hail Saudi Arabia
- University of Management and Technology United States
- National University of Computer and Emerging Sciences Pakistan
Extremal problems in graph theory, Chemical graph theory, Graph Spectra and Topological Indices, Aromaticity in Organic Molecules and Materials, Organic Chemistry, Eccentric Connectivity Index, Computer science, Algorithm, Chemistry, Graphical indices (Wiener index, Zagreb index, Randić index, etc.), Computational Theory and Mathematics, FOS: Chemical sciences, Physical Sciences, Computer Science, QA1-939, FOS: Mathematics, Geometry and Topology, Mathematics, Computational Methods in Drug Discovery
Extremal problems in graph theory, Chemical graph theory, Graph Spectra and Topological Indices, Aromaticity in Organic Molecules and Materials, Organic Chemistry, Eccentric Connectivity Index, Computer science, Algorithm, Chemistry, Graphical indices (Wiener index, Zagreb index, Randić index, etc.), Computational Theory and Mathematics, FOS: Chemical sciences, Physical Sciences, Computer Science, QA1-939, FOS: Mathematics, Geometry and Topology, Mathematics, Computational Methods in Drug Discovery
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