Vertex-Eccentricity Descriptors in Dendrimers

Azari, Mahdieh; Iranmanesh, Ali; Diudea, Mircea V.

doi:10.24193/subbchem.2017.1.11

Cited by 3 publications

(2 citation statements)

References 24 publications

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“…The symmetric division deg index is defined as We encourage our reader to, [26][27] for some interesting results about this index. Azari et al in 2011, introduced the Zagreb index followed by Zagreb indices in, 28 which is defined as Some our recent study about this index, we encourage our reader to. [29][30][31]…”

Section: Introduction *mentioning

confidence: 99%

(a,b)- Zagreb index of some special graph

Sarkar¹,

Mondal²,

De³

et al. 2021

Rev.Roum.Chim.

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In the past few years, graph theory has emerged as one of the most powerful mathematical tools to model many types of relations and process dynamics in computer science, biological and social systems. Generally, a graph is depicted as a set of nodes which is called vertices connected by lines are called edges. A topological index is the numerical parameter of a graph that characterizes its topology and it is usually graph invariant. In this paper, we compute some important classes vertex degree-based graph invariants using the Zagreb index of some special graphs such as the co-normal product of graphs, concentric wheels graph and intersection graph.

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Section: Introduction *mentioning

confidence: 99%

(a,b)- Zagreb index of some special graph

Sarkar¹,

Mondal²,

De³

et al. 2021

Rev.Roum.Chim.

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show abstract

“…Then χ ρ (C n ) = 4 when n is not a multiple of 4. Mahdieh Azari et al [3] introduced a class of dendrimers which is constructed from copies of ordinary Bethe trees. This molecular structure can be encountered in real chemistry, e.g.…”

Section: Propositionmentioning

confidence: 99%

Packing Chromatic Number of Certain Dendrimers

Roy¹

2017

Int. J. of Pure and Appl. Math.

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Abstract:The packing chromatic number χρ(G) of a graph G is the smallest integer k for which there exists a mapping f : V (G) −→ {1, 2, ..., k} such that any two vertices of color i are at distance at least i + 1. In bio-chemistry, dendrimers are synthetically produced monodisperse polymeric nanostructures with a tree-like, highly branched architecture. Applications of dendrimers typically involve conjugating other chemical species to the dendrimer surface that can function as detecting agents , affinity ligands, targeting components, radioligands, imaging agents, or pharmaceutically active compounds. In this paper, the packing chromatic number of certain dendrimers D 2,k , k = 1, 2, 3, 4 are calculated. We also post some open problems.

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Some bond-additive topological indices of four types of dendrimers

Falahati-Nezhad,

Azari

2023

Eur. Phys. J. Plus

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Vertex-Eccentricity Descriptors in Dendrimers

Cited by 3 publications

References 24 publications

(a,b)- Zagreb index of some special graph

(a,b)- Zagreb index of some special graph

Packing Chromatic Number of Certain Dendrimers

Some bond-additive topological indices of four types of dendrimers

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