Results 1 to 10 of about 502 (87)

On the planarity of line Mycielskian graph of a graph

open access: yesRatio Mathematica, 2020
The line Mycielskian graph of a graph G, denoted by Lμ(G) is defined as the graph obtained from L(G) by adding q+1 new vertices E' = ei' : 1 ≤  i ≤  q and e, then for 1 ≤  i ≤  q , joining ei' to the neighbours of ei  and  to e.
Keerthi G. Mirajkar   +1 more
doaj   +2 more sources

Second Redefined Zagreb Index of Generalized Transformation Graph

open access: yesInternational journal of science, engineering and management, 2022
The topological indices are useful part in the investigations of quantitative structure property relationship (QSPR) and quantitative structure activity relationship (QSAR) in mathematical chemistry.
V. T, Sharan Hegde, Afshan Tarannum
semanticscholar   +1 more source

Structures devised by the generalizations of two graph operations and their topological descriptors

open access: yesMain Group Metal Chemistry, 2022
Graph theory served in different fields of sciences, especially in chemistry in which creating complex structures and studying their enormous properties. Graph operation is a tool to construct complex chemical structures using basic graphs.
Raza Hassan   +3 more
doaj   +1 more source

Graph Operations and Neighborhood Polynomials

open access: yesDiscussiones Mathematicae Graph Theory, 2021
The neighborhood polynomial of graph G is the generating function for the number of vertex subsets of G of which the vertices have a common neighbor in G.
Alipour Maryam, Tittmann Peter
doaj   +1 more source

Total Domination in Generalized Prisms and a New Domination Invariant

open access: yesDiscussiones Mathematicae Graph Theory, 2021
In this paper we complement recent studies on the total domination of prisms by considering generalized prisms, i.e., Cartesian products of an arbitrary graph and a complete graph.
Tepeh Aleksandra
doaj   +1 more source

Finite vertex-based resolvability of supramolecular chain in dialkyltin

open access: yesMain Group Metal Chemistry, 2022
For mammals, l-valine, which is a glycogen, is an essential amino acid. A protein made of 20 amino acids, salicylidene and l-valine make the carboxylate ligand which is the base of chiral Schiff.
Zhang Xiujun   +4 more
doaj   +1 more source

Separation of Cartesian Products of Graphs Into Several Connected Components by the Removal of Vertices

open access: yesDiscussiones Mathematicae Graph Theory, 2022
A set S ⊆ V (G) is a vertex k-cut in a graph G = (V (G), E(G)) if G − S has at least k connected components. The k-connectivity of G, denoted as κk(G), is the minimum cardinality of a vertex k-cut in G. We give several constructions of a set S such that (
Erker Tjaša Paj, Špacapan Simon
doaj   +1 more source

Congruences and Hoehnke Radicals on Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2020
We motivate, introduce, and study radicals on classes of graphs. This concept, and the theory which is developed, imitates the original notion of a Hoehnke radical in universal algebra using congruences.
Broere Izak   +2 more
doaj   +1 more source

Total Protection of Lexicographic Product Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2022
Given a graph G with vertex set V (G), a function f : V (G) → {0, 1, 2} is said to be a total dominating function if Σu∈N(v) f(u) > 0 for every v ∈ V (G), where N(v) denotes the open neighbourhood of v. Let Vi = {x ∈ V (G) : f(x) = i}. A total dominating
Martínez Abel Cabrera   +1 more
doaj   +1 more source

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