Results 51 to 60 of about 120 (72)
On spectra of Hermitian Randic matrix of second kind
, 2023 We propose the Hermitian Randi\'c matrix $R^\omega(X)=(R^\omega_{ij})$, where $\omega=\frac{1+i \sqrt{3}}{2}$ and $R^\omega_{ij}={1}/{\sqrt{d_id_j}}$ if $v_iv_j$ is an unoriented edge, ${\omega}/{\sqrt{d_id_j}}$ if $v_i\rightarrow v_j$, ${\overline ...
Bharali, A +3 more
core
, 2023 Let $R$ be a commutative ring with unity. The essential ideal graph $\mathcal{E}_{R}$ of $R$, is a graph with a vertex set consisting of all nonzero proper ideals of \textit{R} and two vertices $I$ and $K$ are adjacent if and only if $I+ K$ is an ...
Banerjee, Subarsha +2 more
core
Extremal trees, unicyclic and bicyclic graphs with respect to $p$-Sombor spectral radii
, 2023 For a graph $G=(V,E)$ and $v_{i}\in V$, denote by $d_{v_{i}}$ (or $d_{i}$ for short) the degree of vertex $v_{i}$. The $p$-Sombor matrix $\textbf{S}_{\textbf{p}}(G)$ ($p\neq0$) of a graph $G$ is a square matrix, where the $(i,j)$-entry is equal to ...
Jin, Xian'an +2 more
core
Further development of F-index for fuzzy graph and its application in Indian railway crime. [PDF]
J Appl Math Comput, 2023 Islam SR, Pal M.
europepmc +1 more source
Trees maximizing the number of almost-perfect matchings
, 2022 We characterize the extremal trees that maximize the number of almost-perfect matchings, which are matchings covering all but one or two vertices, and those that maximize the number of strong almost-perfect matchings, which are matchings missing only one
Cambie, Stijn +4 more
core
Maximum values of the Sombor-index-like graph invariants of trees and connected graphs
A set of novel vertex-degree-based invariants was introduced by Gutman, denoted by \newline $SO_1, SO_2, \ldots,SO_6$. These invariants were constructed through geometric reasoning based on a new graph invariant framework.
Bašić, Milan
core
Lower bounds on trees and unicyclic graphs with respect to the misbalance rodeg index. [PDF]
HeliyonDehgardi N, Azari M, Shang Y.
europepmc +1 more source
Optimisation of the control of Neoclassical Tearing Modes with ECCD in ASDEX Upgrade and ITER [PDF]
, 2006 ASDEX Upgrade Team +8 more
core +1 more source
On tricyclic graphs with maximum atom-bond sum-connectivity index. [PDF]
HeliyonNoureen S +5 more
europepmc +1 more source