Results 91 to 100 of about 1,607 (200)

On a conjecture regarding the exponential reduced Sombor index of chemical trees [PDF]

Discrete Mathematics Letters, 2022
Amjad E. Hamza, Akbar Ali
doaj   +1 more source

Maximal tree and unicylic graph for Euler Sombor index with given diameter

AKCE International Journal of Graphs and Combinatorics
The study of topological descriptors is essential for understanding the underlying structures of graphs and networks. Numerous numerical descriptors associated with graphs have been used to analyze their overall structure.
Zahid Raza, Shehnaz Akhter, Sourav Mondal, Modjtaba Ghorbani   +3 more
doaj   +1 more source

Extremal values of the modified Sombor index in trees [PDF]

Based on Euclidean metrics, Gutman put forward a novel vertex-degree-based topological index, named the Sombor index. Later, the modified version of it—the modified Sombor index—was introduced.
Kun Wang, Wenjie Ning, Yuheng Song
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Sombor index -- one year later

, 2020
Bulletin t. 153 de l'Académie serbe des sciences et des arts. Classe des sciences mathématiques et naturelles. Sciences mathematiques no 45.
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Modified Sombor Spectral Radii and Modified Sombor Energies of Splitting and Shadow Graphs

Scientific Annals of Computer Science
Gutman et al. introduced Sombor and Modified Somber index because of the rapidly growing applications in chemistry and network analysis. Graph energy ε(G) and the spectral radius ℘(G) of graph G are essential components that are associated with the ...
Ahmad Bilal, Muhammad Mobeen Munir
doaj   +1 more source

On the Elliptic Sombor and Euler Sombor indices of Corona product of certain graphs

Elliptic Sombor and Euler Sombor indices are recently defined topological indices using Sombor index. Elliptic sombor index is defined as $ESO(G)=\sum_{uv\in E(G)}(d_u+ d_v)\sqrt{d^2_u+ d^2_v}$ and Euler Sombor index is defined as $EU(G)= \sum_{uv\in E(G)
Kirana, B., Shanmukha, M. C., Usha, A.
core  

PRIMUS/Informed Cities: Making research work for local sustainability [PDF]

, 2012
The final report of a three year European Commission FP7 ...
Berrini, Maria, Björkqvist, Laura, Bono, Lorenzo, Fernández de la Fuente, Isabel, Garzillo, Cristina, Grönholm, Sam, Joas, Marko, Kuhn, Stefan, McGuinness, David, Rok, Ania, Theobald, Kate   +10 more
core  

Estimating the Gourava Sombor Index

Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics
The paper is concerned with the recently introduced vertex-degree-based graph invariant called Gourava Sombor index (GSO). Lower and upper bounds for GSO are obtained, in terms of Gourava index and the two Zagreb indices. For any graph, the upper bound is strict. Its improvements for special types of graphs are established.
Ivan Gutman, Veerabhadrappa R. Kulli
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Go West: The Western Balkans towards European integration [PDF]

When we talk about the Balkans we think of war, suffering, ethnic cleansing and hatred. And up to a rather recent point in time this was not a misleading idea. Unfortunately, this has been the reality in the Balkans.
Ninka, Eniel
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Sombor index of clean graphs

Let $G = (V, E)$ be a graph with the vertex set $V (G)$ and edge set $E(G)$. The Sombor index of $G$, $SO(G)$, is defined as $\sum_{uv\in E(G)} \sqrt{deg(u)^2 + deg(v)^2}$, where $deg(u)$ is the degree of vertex $u$ in $V (G)$. The clean graph of a ring R, denoted by $Cl(R)$, is a graph with vertex set $\{(e, u) : e \in Id(R), u \in U(R)\}$ and two ...
Badie, M., Nikandish, R., Pirniia, M.
openaire   +2 more sources