Results 31 to 40 of about 3,522,534 (301)

The list Distinguishing Number Equals the Distinguishing Number for Interval Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2017
A distinguishing coloring of a graph G is a coloring of the vertices so that every nontrivial automorphism of G maps some vertex to a vertex with a different color. The distinguishing number of G is the minimum k such that G has a distinguishing coloring
Immel Poppy, Wenger Paul S.
doaj   +1 more source

Some Root Level Modifications in Interval Valued Fuzzy Graphs and Their Generalizations Including Neutrosophic Graphs

open access: yesMathematics, 2019
Fuzzy graphs (FGs) and their generalizations have played an essential role in dealing with real-life problems involving uncertainties. The goal of this article is to show some serious flaws in the existing definitions of several root-level generalized FG
Naeem Jan   +6 more
doaj   +1 more source

End Simplicial Vertices in Path Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2016
A graph is a path graph if there is a tree, called UV -model, whose vertices are the maximal cliques of the graph and for each vertex x of the graph the set of maximal cliques that contains it induces a path in the tree.
Gutierrez Marisa, Tondato Silvia B.
doaj   +1 more source

On Generalizations of Pairwise Compatibility Graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science
A graph $G$ is a pairwise compatibility graph (PCG) if there exists an edge-weighted tree and an interval $I$, such that each leaf of the tree is a vertex of the graph, and there is an edge $\{ x, y \}$ in $G$ if and only if the weight of the path in the
Tiziana Calamoneri   +3 more
doaj   +1 more source

Novel Concept of Interval-Valued Neutrosophic Incidence Graphs with Application [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
: Neutrosophic set (NS) is a framework used when the imprecision and uncertainty of an event are described based on three possible aspects, i.e., the membership degree, neutral membership degree and non-membership degree.
Siti Nurul Fitriah Mohamad   +4 more
doaj   +1 more source

Betweenness in graphs: A short survey on shortest and induced path betweenness

open access: yesAKCE International Journal of Graphs and Combinatorics, 2019
Betweenness is a universal notion present in several disciplines of mathematics. The notion of betweenness has a profound history and many pioneers like Euclid, Pasch, Hilbert have studied betweenness axiomatically.
Manoj Changat   +2 more
doaj   +2 more sources

On the Representation of a PI-Graph

open access: yesTrends in Computational and Applied Mathematics, 2007
Consider two parallel lines (denoted r1 and r2). A graph is a PI graph (Point-Interval graph) if it is an intersection graph of a family F of triangles between r1 and r2 such that each triangle has an interval with two endpoints on r1 and a vertex (a ...
S.M. Almeida, C.P. de Mello, A. Gomide
doaj   +1 more source

On probe interval graphs

open access: yesDiscrete Applied Mathematics, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fred R. McMorris   +2 more
openaire   +2 more sources

Interval-valued bipolar fuzzy line graphs

open access: yesBMC Research Notes, 2023
Objectives The notion of Bipolarity based on positive and negative outcomes. It is well known that bipolar models give more precision, flexibility, and compatibility to the system as compared to the classical models and fuzzy models.
Keneni Abera Tola   +2 more
doaj   +1 more source

Cliques and Clique Covers in Interval-Valued Fuzzy Graphs

open access: yesInternational Journal of Computational Intelligence Systems, 2021
Finding cliques and clique covers in graphs are one of the most needful tasks. In this paper, interval-valued fuzzy cliques (IVFQs) and interval-valued fuzzy clique covers (IVFQCs) of an interval-valued fuzzy graph (IVFG) are introduced by introducing ...
Napur Patra   +3 more
doaj   +1 more source

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