Results 61 to 70 of about 5,793,190 (230)

Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río   +2 more
wiley   +1 more source

A lexicographic product for signed graphs [PDF]

open access: yesAustralas. J Comb., 2019
Summary: A signed graph is a pair \(\Gamma=(G,\sigma)\), where \(G=(V(G),E(G))\) is a graph and \(\sigma:E(G)\rightarrow\{+1,-1\}\) is the sign function on the edges of \(G\). The notion of composition (also known as lexicographic product) of two signed graphs \(\Gamma\) and \(\Lambda=(H,\tau)\) already exists in literature, yet it fails to map ...
Brunetti M, Cavaleri M, Donno A.
openaire   +2 more sources

Comparative Study of Generalized Sum Graphs via Degree-Based Topological Indices

open access: yesJournal of Mathematics, 2022
In theoretical chemistry, topological indices (TIs) have important role to predict various physical and structural properties of the study under molecular graphs.
Muhammad Javaid   +2 more
doaj   +1 more source

Pseudo MV-algebras and Lexicographic Product [PDF]

open access: yes, 2014
We study algebraic conditions when a pseudo MV-algebra is an interval in the lexicographic product of an Abelian unital $\ell$-group and an $\ell$-group that is not necessary Abelian.
Dvurečenskij, Anatolij
core  

On the weak Roman domination number of lexicographic product graphs

open access: yes, 2018
A vertex $v$ of a graph $G=(V,E)$ is said to be undefended with respect to a function $f: V \longrightarrow \{0,1,2\}$ if $f(v)=0$ and $f(u)=0$ for every vertex $u$ adjacent to $v$.
Pérez-Rosés, Hebert   +2 more
core   +1 more source

Outer-restrained Domination in the Lexicographic Product of Two Graphs

open access: yesInternational Journal For Multidisciplinary Research
Let G be a connected simple graph. A set S⊆V(G) is a restrained dominating set if every vertex not in S is adjacent to a vertex in S and to a vertex in (G)∖S .
Celart A. Tuble   +4 more
semanticscholar   +1 more source

Domination related parameters in the generalized lexicographic product of graphs [PDF]

open access: yesDiscrete Applied Mathematics, 2020
In this paper we begin an exploration of several domination-related parameters (among which are the total, restrained, total restrained, paired, outer connected and total outer connected domination numbers) in the generalized lexicographic product (GLP ...
Vladimir Samodivkin
semanticscholar   +1 more source

Circulant Matrix‐Based Box–Behnken Designs With Economic Run Sizes

open access: yesQuality and Reliability Engineering International, EarlyView.
ABSTRACT We introduce Circulant Matrix‐Based Box–Behnken Designs (CBBDs), a new class of three‐level, second‐order response surface designs constructed using circulant matrix structures. These designs satisfy an enhanced orthogonal minimally aliased (OMA∗${\rm OMA}^*$) property: they retain the classical OMA property—where main effects are orthogonal ...
Tung‐Dinh Pham, Nam‐Ky Nguyen
wiley   +1 more source

Outer Independent Double Italian Domination of Some Graph Products

open access: yesTheory and Applications of Graphs, 2023
An outer independent double Italian dominating function on a graph $G$ is a function $f:V(G)\rightarrow\{0,1,2,3\}$ for which each vertex $x\in V(G)$ with $\color{red}{f(x)\in \{0,1\}}$ then $\sum_{y\in N[x]}f(y)\geqslant 3$ and vertices assigned $0 ...
Rouhollah Jalaei, Doost Ali Mojdeh
doaj   +1 more source

The Simultaneous Metric Dimension of Families Composed by Lexicographic Product Graphs

open access: yes, 2015
Let ${\mathcal G}$ be a graph family defined on a common (labeled) vertex set $V$. A set $S\subseteq V$ is said to be a simultaneous metric generator for ${\cal G}$ if for every $G\in {\cal G}$ and every pair of different vertices $u,v\in V$ there exists
Estrada-Moreno, Alejandro   +2 more
core   +1 more source

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