Results 41 to 50 of about 91 (73)
Sharp Upper Bounds on the Clar Number of Fullerene Graphs
Discussiones Mathematicae Graph Theory, 2018 The Clar number of a fullerene graph with n vertices is bounded above by ⌊n/6⌋ − 2 and this bound has been improved to ⌊n/6⌋ − 3 when n is congruent to 2 modulo 6.
Gao Yang, Zhang Heping
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THE SECOND EDGE-WIENER INDEX OF SOME COMPOSITE GRAPHS
, 2014 In this paper we study the behavior of the second edge-Wiener index under the join and corona product of graphs. Results are applied for some classes of graphs such as suspensions, bottlenecks, and thorny graphs.
M. Azari, A. Iranmanesh
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SCHULTZ AND GUTMAN INDICES FOR GRAPH COMPLEMENTS
, 2015 A graph G is said to have property (*) [4] if for every pair of its adjacent vertices u and v there exists a vertex w such that w is not adjacent to u and v.
S. Ramakrishnan, J. Babujee
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Topological Indices of Para-line Graphs of V-Phenylenic Nanostructures
Open Mathematics, 2019 The degree-based topological indices are numerical graph invariants which are used to correlate the physical and chemical properties of a molecule with its structure.
Nadeem Imran +3 more
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Main Group Metal ChemistryFor a graph Q=(V,E){\mathbb{Q}}=\left({\mathbb{V}},{\mathbb{E}}), the transformation graph are defined as graphs with vertex set being V(Q)∪E(Q){\mathbb{V}}\left({\mathbb{Q}})\cup {\mathbb{E}}\left({\mathbb{Q}}) and edge set is described following ...
Ali Parvez +5 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In graph theory, the Randic index (R) is a topological graph invariant widely used as a physicochemical descriptor in the mathematical modeling of molecular structures. However, traditional molecular graphs fail to capture the heterogeneity of chemical bonds, since they treat all edges as uniform, ignoring variations in bond lengths and strengths.
Ying Wang +5 more
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Extremal Values on the General Degree–Eccentricity Index of Unicyclic Graphs of Fixed Diameter
Journal of Mathematics, Volume 2025, Issue 1, 2025.For a connected graph G and two real numbers a, b, the general degree–eccentricity index of G is given by DEIa,bG=∑v∈VGdGavecGbv, where V(G) represent the vertex set of graph G, dG(v) denotes the degree of vertex v, and ecG(v) is the eccentricity of v in G, that is, the maximum distance from v to another vertex of G. This index generalizes several well‐
Mesfin Masre, G. Muhiuddin
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Computing Some Topological Indices of Two Kinds of Dendrimer Graphs G[n] and H[n]
Journal of Mathematics, Volume 2024, Issue 1, 2024.Dendrimer molecules are macromolecules which have many applications in nanosciences, drug delivery, biology, and different areas of sciences. Topological indices of chemical graph theory are numerical descriptor of a molecular structure. The dendrimer graph G[n] is obtained by attaching the new paths P9, joined each pendant vertex of G[n − 1] to ...
Hojat Kaviani +2 more
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Upper bounds for the global cyclicity index
Open MathematicsWe find new upper bounds for the global cyclicity index, a variant of the Kirchhoff index, and discuss the wide family of graphs for which the bounds are attained.
Palacios José Luis
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Synthesis and properties of octahedral silsesquioxane with vinyl acetate side group
Science and Engineering of Composite MaterialsA new type of octa polyhedral oligomeric silsesquioxane (Octa DMS-POSS) has been obtained. The synthesized Octa DMS-POSS is further modified with vinyl acetate in order to obtain a vinyl acetate-polyhedral oligomeric silsesquioxane (VAPOSS) with a better
Wang Xiaorong +3 more
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