Results 41 to 50 of about 1,343 (197)

A lower bound for the 3-pendant tree-connectivity of lexicographic product graphs [PDF]

open access: yes, 2023
summary:For a connected graph $G=(V,E)$ and a set $S \subseteq V(G)$ with at least two vertices, an $S$-Steiner tree is a subgraph $T = (V',E')$ of $G$ that is a tree with $S \subseteq V'$.
Mao, Yaping   +2 more
core   +1 more source

The Clustering Coefficient for Graph Products

open access: yesAxioms, 2023
The clustering coefficient of a vertex v, of degree at least 2, in a graph Γ is obtained using the formula C(v)=2t(v)deg(v)(deg(v)−1), where t(v) denotes the number of triangles of the graph containing v as a vertex, and the clustering coefficient of Γ ...
Jhon J. Aguilar-Alarcón   +2 more
doaj   +1 more source

Characterization of the hyperbolicity in the lexicographic product

open access: yesElectronic Notes in Discrete Mathematics, 2014
Abstract If X is a geodesic metric space and x 1 , x 2 , x 3 ∈ X , a geodesic triangle T = { x 1 , x 2 , x 3 } is the union of the three geodesics [ x 1 x 2 ] , [ x 2 x 3 ] and [ x 3 x 1 ] in X.
Walter Carballosa   +2 more
openaire   +1 more source

On subgraph relationships between graph products

open access: yesJournal of Nigerian Society of Physical Sciences
Graph products play an important role in graph theory by providing systematic methods for constructing complex graphs from simpler ones and by revealing structural relationships among different graph classes.
Jinta Jose, Ninu S. Lal, Bobin George
doaj   +1 more source

Representable Lexicographic Products

open access: yesOrder, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Minimal cycle bases of the lexicographic product of graphs [PDF]

open access: yes, 2008
A construction of minimum cycle bases of the lexicographic product of graphs is presented.
Jaradat, M.
core   +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

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  

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