Extremal values of vertex-degree-based topological indices over graphs

2014 ◽  
Vol 48 (1-2) ◽  
pp. 395-406 ◽  
Author(s):  
Roberto Cruz ◽  
Tatiana Pérez ◽  
Juan Rada
Keyword(s):  
Topological Indices ◽  
Vertex Degree ◽  
Extremal Values

scholarly journals ORDERING CATACONDENSED HEXAGONAL SYSTEMS WITH RESPECT TO VDB TOPOLOGICAL INDICES

2017 ◽  
Vol 23 (1) ◽  
pp. 277-289
Author(s):  
Juan Rada
Keyword(s):  
Topological Index ◽  
Topological Indices ◽  
Vertex Degree ◽  
Extremal Values ◽  
Hexagonal Systems

In this paper we give a complete description of the ordering relations in the set of catacondensed hexagonal systems, with respect to a vertex-degree-based topological index. As a consequence, extremal values of vertex-degree-based topological indices in special subsets of the set of catacondensed hexagonal systems are computed.

Extremal values of vertex‐degree‐based topological indices of coronoid systems

2020 ◽  
Author(s):  
Roberto Cruz ◽  
Andrés David Santamaría‐Galvis ◽  
Juan Rada
Keyword(s):  
Topological Indices ◽  
Vertex Degree ◽  
Extremal Values

scholarly journals Sharp Upper and Lower Bounds of VDB Topological Indices of Digraphs

Symmetry ◽  
2021 ◽  
Vol 13 (10) ◽  
pp. 1903
Author(s):  
Juan Monsalve ◽  
Juan Rada
Keyword(s):  
Lower Bounds ◽  
Topological Index ◽  
General Setting ◽  
Upper Bounds ◽  
Topological Indices ◽  
Vertex Degree ◽  
Upper And Lower Bounds ◽  
Lower And Upper Bounds ◽  
Extremal Values

A vertex-degree-based (VDB, for short) topological index φ induced by the numbers φij was recently defined for a digraph D, as φD=12∑uvφdu+dv−, where du+ denotes the out-degree of the vertex u,dv− denotes the in-degree of the vertex v, and the sum runs over the set of arcs uv of D. This definition generalizes the concept of a VDB topological index of a graph. In a general setting, we find sharp lower and upper bounds of a symmetric VDB topological index over Dn, the set of all digraphs with n non-isolated vertices. Applications to well-known topological indices are deduced. We also determine extremal values of symmetric VDB topological indices over OTn and OG, the set of oriented trees with n vertices, and the set of all orientations of a fixed graph G, respectively.

Extremal values of vertex-degree-based topological indices of chemical trees

2020 ◽  
Vol 380 ◽  
pp. 125281
Author(s):  
Roberto Cruz ◽  
Juan Monsalve ◽  
Juan Rada
Keyword(s):  
Topological Indices ◽  
Vertex Degree ◽  
Extremal Values ◽  
Chemical Trees

scholarly journals A general modeling of some vertex-degree based topological indices in benzenoid systems and phenylenes

2011 ◽  
Vol 61 (10) ◽  
pp. 3017-3023 ◽  
Author(s):  
Hanyuan Deng ◽  
Jianguang Yang ◽  
Fangli Xia
Keyword(s):  
Topological Indices ◽  
Vertex Degree

scholarly journals Vertex-degree-based topological indices over starlike trees

2015 ◽  
Vol 185 ◽  
pp. 18-25 ◽  
Author(s):  
Clara Betancur ◽  
Roberto Cruz ◽  
Juan Rada
Keyword(s):  
Topological Indices ◽  
Vertex Degree

scholarly journals On extremal bipartite graphs with a given connectivity

Filomat ◽  
2019 ◽  
Vol 33 (6) ◽  
pp. 1531-1540
Author(s):  
Hanlin Chen ◽  
Hanyuan Deng ◽  
Renfang Wu
Keyword(s):  
Topological Index ◽  
Bipartite Graphs ◽  
Topological Indices ◽  
Extremal Graphs ◽  
Extremal Values

Let I(G) be a topological index of a graph. If I(G + e) < I(G) (or I(G + e) > I(G), respectively) for each edge e ? G, then I(G) is decreasing (or increasing, respectively) with addition of edges. In this paper, we determine the extremal values of some monotonic topological indices which decrease or increase with addition of edges, and characterize the corresponding extremal graphs among bipartite graphs with a given connectivity.

scholarly journals Degree Sequence of Graph Operator for some Standard Graphs

2020 ◽  
Vol 5 (2) ◽  
pp. 99-108
Author(s):  
◽  
P. S Ranjini ◽  
V. Lokesha ◽  
Sandeep Kumar
Keyword(s):  
Degree Sequence ◽  
Topological Indices ◽  
Vertex Degree ◽  
Mathematical Chemistry

AbstractTopological indices play a very important role in the mathematical chemistry. The topological indices are numerical parameters of a graph. The degree sequence is obtained by considering the set of vertex degree of a graph. Graph operators are the ones which are used to obtain another broader graphs. This paper attempts to find degree sequence of vertex–F join operation of graphs for some standard graphs.

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