Results 51 to 60 of about 775 (185)

On the Maximum Sombor Index of Unicyclic Graphs with a Fixed Girth

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
Let G be a graph having the set of edges E(G). Represent by dG(u) the degree of a vertex u of G. The Sombor (SO) index of G is defined as SOG=∑uv∈EGdGu2+dGv2. The length of a shortest cycle in a graph G is known as the girth of G. A connected graph with the same order and size is usually referred to as a (connected) unicyclic graph.
B. Senthilkumar, Y. B. Venkatakrishnan, S. Balachandran, Akbar Ali, Tariq A. Alraqad, Amjad E. Hamza, Elena Guardo   +6 more
wiley   +1 more source

Revan Sombor indices: Analytical and statistical study

Mathematical Biosciences and Engineering, 2023
<abstract><p>In this paper, we perform analytical and statistical studies of Revan indices on graphs $ G $: $ R(G) = \sum_{uv \in E(G)} F(r_u, r_v) $, where $ uv $ denotes the edge of $ G $ connecting the vertices $ u $ and $ v $, $ r_u $ is the Revan degree of the vertex $ u $, and $ F $ is a function of the Revan vertex degrees.
V. R. Kulli, J. A. Méndez‐Bermúdez, José M. Rodrı́guez, José M. Sigarreta   +3 more
openaire   +4 more sources

On Sombor coindex of graphs

, 2021
Motivated by the recently introduced topological index, the Somber index, we define a new topological index of a graph in this paper, we call it Sombor coindex.
Chinglensana, Phanjoubam, Mawiong, Sainkupar Mn   +1 more
core   +1 more source

Analysis of Complex Networks via Some Novel Topological Indices

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
Chemical graph theory is a field of mathematical chemistry that links mathematics, chemistry, and graph theory to solve chemistry‐related issues quantitatively. Mathematical chemistry is an area of mathematics that employs mathematical methods to tackle chemical‐related problems.
Shahid Amin, M. A. Rehman, Amir Naseem, Ilyas Khan, Nawa Alshammari, Nawaf N. Hamadneh, Muhammad Faisal Nadeem   +6 more
wiley   +1 more source

Some inequalities of reformulated and entire Inf-Sombor index [PDF]

Journal of Hyperstructures
The concept of the Sombor index was extended by Reti et. al. [1] by introducing a pSombor index which can be seen as the p norm of the vector x = (d(u), d(v)) as p → ∞, ∥x∥∞ = max{d(u), d(v)}. Inspired by this, we defined indices namely, Reformulated Inf-
Jalappa ., Manohar S H, Boregowda H S
doaj   +1 more source

Institutionalization of Regional Policy and the Regional Institution System in Serbia [PDF]

, 2013
This study summarizes aspects of Serbian regional policy with special focus on regions and the development of the regional institutions. The study emphasizes the importance of the issue in the Republic of Serbia in 2010, with the ambition to join the ...
Nagy, Imre, Takács, Zoltán
core   +1 more source

Degree-based topological indices of boron nanotubes

AIP Advances, 2023
In the past two decades, boron nanotubes have received significant attention from researchers and scientists due to their wide-ranging applications in electronics, nanodevices, optical engineering, nanobiotechnology, and cosmetics.
Sohan Lal, Shriya Negi, Vijay Kumar Bhat
doaj   +1 more source

Temperature-Sombor and Temperature-Nirmala Indices

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH, 2022
In this paper, we introduce the temperature-Sombor index, modified temperature-Sombor index and temperature-Nirmala index of a graph. Also we compute these temperature indices for some standard graphs and tetrameric 1,3-adamantane. Furthermore, we establish some properties of newly defined temperature-Sombor index and temperature-Nirmala index.
openaire   +1 more source

An elliptic-eccentric sombor index of graphs and its chemical applicabilities [PDF]

Journal of Hyperstructures
Recently, Gutman et al., \cite{gfs} introduced the concept of an elliptic Sombor index of a graph. Based on their work, in this paper we initiated the distance (particularly, eccentricity) based graphical indices called an elliptic-eccentric Sombor index
B Chaluvaraju, N Harish, C. Nandeesh Kumar   +2 more
doaj   +1 more source

Advances in Discrete Applied Mathematics and Graph Theory [PDF]

, 2022
The present reprint contains twelve papers published in the Special Issue “Advances in Discrete Applied Mathematics and Graph Theory, 2021” of the MDPI Mathematics journal, which cover a wide range of topics connected to the theory and applications of ...

core   +1 more source