Results 51 to 60 of about 5,793,190 (230)

From Italian domination in lexicographic product graphs to w-domination in graphs [PDF]

open access: yesArs Math. Contemp., 2020
In this paper, we show that the Italian domination number of every lexicographic product graph $G\circ H$ can be expressed in terms of five different domination parameters of $G$.
Abel Cabrera Martínez   +2 more
semanticscholar   +1 more source

Lexicographic Orders of Intuitionistic Fuzzy Values and Their Relationships

open access: yesMathematics, 2019
Intuitionistic fuzzy multiple attribute decision making deals with the issue of ranking alternatives based on the decision information quantified in terms of intuitionistic fuzzy values. Lexicographic orders can serve as efficient and indispensable tools
Feng Feng   +4 more
doaj   +1 more source

Rainbow connection number of generalized composition

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
Let be a connected graph with . The rainbow connection number is the smallest for which there is a map such that any two vertices can be connected by a path whose edge colors are all distinct.
Fendy Septyanto, Kiki Ariyanti Sugeng
doaj   +1 more source

Non-1-Planarity of Lexicographic Products of Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2021
In this paper, we show the non-1-planarity of the lexicographic product of a theta graph and K2. This result completes the proof of the conjecture that a graph G ◦ K2 is 1-planar if and only if G has no edge belonging to two cycles.
Matsumoto Naoki, Suzuki Yusuke
doaj   +1 more source

Secure Inverse Domination in the Corona and Lexicographic Product of Two Graphs

open access: yesInternational Journal For Multidisciplinary Research
As secure domination and inverse domination garnered attention from various researchers, the combination of the two also raised a certain amount of curiosity.
Jesica P. Dagodog   +4 more
semanticscholar   +1 more source

Weakened Gallai-Ramsey numbers [PDF]

open access: yesSurveys in Mathematics and its Applications, 2018
In the Ramsey theory of graphs, one seeks to determine the value of the Ramsey number rt(n), defined to be the least natural number p such that every coloring of the edges of Kp using t colors results in a monochromatic copy of Kn in some color.
Gabrielle Beam, Mark Budden
doaj  

New concepts on level graphs of vague graphs with application in medicine

open access: yesFrontiers in Physics, 2023
Vague graphs (VGs), belonging to the fuzzy graph (FG) family, have good capabilities when facing problems that cannot be expressed by FGs. When an element membership is unclear, neutrality is a good option that can be well-supported by a VG. The previous
Xiaolong Shi   +3 more
doaj   +1 more source

Lexicographic Maximum Solution of Min-Product Fuzzy Relation Inequalities for Modeling the Optimal Pricing With Fixed Priority Grade in Supply Chain

open access: yesIEEE Access, 2018
Fuzzy relation inequalities composed by the min-product operation are established to model the pricing relation in a supply chain system. Basic properties of the min-product fuzzy relation inequalities are presented first, based on which the complete ...
Xuegang Zhou   +4 more
doaj   +1 more source

Broadcast domination of lexicographic and modular products of graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2022
A dominating broadcast labeling of a graph G is a function [Formula: see text] such that [Formula: see text] for all [Formula: see text] where e(v) is the eccentricity of v, and for every vertex [Formula: see text] there exists a vertex v with [Formula ...
Jishnu Sen, Srinivasa Rao Kola
doaj   +1 more source

Disjoint Perfect Secure Domination in the Cartesian Product and Lexicographic Product of Graphs

open access: yesInternational Journal For Multidisciplinary Research
Let G be a graph. A dominating set D⊆V(G) is called a secure dominating set of G if for each vertex u∈V(G)∖D, there exists a vertex v∈D such that uv∈ E(G) and the set (D∖{v})∪{u} is a dominating set of G.
Renelyn B. Udtohan   +4 more
semanticscholar   +1 more source

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