Results 101 to 110 of about 1,607 (200)

On Sombor index and graph energy of some chemically important graphs

open access: yesExamples and Counterexamples
Sombor index of a graph G=(V(G),E(G)) is provided by the expression ∑uv∈E(G)du2+dv2, where dx is the degree of the vertex x∈V(G). The energy of a graph is the quantity given by the total of the absolute values of its adjacency matrix’s eigenvalues.
Md Selim Reja, Sk. Md. Abu Nayeem
doaj   +1 more source

The Euler Sombor Index and the Average Sombor Index of the Cozero-Divisor Graph over the Ring ℤn

open access: yesMathematics
Let Z(R)′ denote the set of all elements in the ring R that are neither zero nor units, where R is assumed to be a commutative ring with a multiplicative identity satisfying 1≠0.
Amal S. Alali   +2 more
doaj   +1 more source

Sombor index of uniform hypergraphs

open access: yesAIMS Mathematics
<p>In 2021, Gutman proposed a topological index for graphs known as the Sombor index. In this paper, we obtain several upper and lower bounds of the Sombor index of uniform hypergraphs, including those of hypertrees. Furthermore, we present a Nordhaus-Gaddum type result for the Sombor index of uniform hypergraphs.</p>
Xiuwen Wang, Maoqun Wang
openaire   +2 more sources

On the Sombor index of graphs [PDF]

open access: yesContributions to Mathematics, 2021
Tamas Reti, Tomislav Doslic
doaj   +1 more source

Relating graph energy and Sombor index [PDF]

open access: yesDiscrete Mathematics Letters, 2021
Alper Ulker   +3 more
doaj   +1 more source

Sombor index and its applications

open access: yesOpen Journal of Discrete Applied Mathematics
A novel topological index, the Sombor index, has been proposed by Ivan Gutman in a recent paper [1]. Motivated by this novel index, we study the new variants of Sombor index and to examine the correlation of newly introduced topological indices we have computed the values of these indices by taking all possible trees on 10 vertices. Here in this paper,
Vijaylaxmi S. Shigehalli   +1 more
openaire   +1 more source

Centrality-Based Sombor Index for Network Systems with Applications to Molecular Chemistry and Disease Transmission Networks

open access: yesTransactions on Fuzzy Sets and Systems
A number is a graphical invariant in graph theory if it is invariant under graph automorphism. In molecular graph theory, graphical invariants are known as topological indices.
Shaikh Ibrahim Abdullah   +3 more
doaj  

Predicting tuberculosis drug properties using extended energy based topological indices via a python driven QSPR approach

open access: yesScientific Reports
In the present work, the physicochemical characteristics of important anti-tuberculosis (TB) drugs such as isoniazid, pyrazinamide, ethambutol, ethionamide, linezolid, and levofloxacin are explored using extended energy-based topological indexes.
Kiran Naz   +4 more
doaj   +1 more source

On the Sombor index of the total graph and the unit graph of commutative rings

open access: yes
In this paper, we investigate the Sombor index of the total graph and unit graph of $\mathbb{Z}_n$ which is denoted by $T_{\Gamma}(\mathbb{Z}_n)$ and $G(\mathbb{Z}_n)$ respectively for $n \in \{2k, p^{\alpha}, pq, p^2q\}$ where $p$ and $q$ are distinct ...
DSouza, Raisa   +2 more
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