Results 41 to 50 of about 3,671,469 (355)

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

Interval graphs and seatching

open access: yesDiscrete Mathematics, 1985
The interval thickness of a graph G is the minimum clique number of all the interval supergraphs of G. The clique number of a graph is the number of nodes of its biggest complete subgraph. On the other hand, the node- search number is the least number of searchers (pebbles) required to clear the ''contaminated'' edges of a graph. A contaminated edge is
Kirousis, Lefteris M.   +1 more
openaire   +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

Reconstruction of interval graphs

open access: yesTheoretical Computer Science, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kiyomi, Masashi   +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

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

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

Polynomial kernels for Proper Interval Completion and related problems

open access: yes, 2011
Given a graph G = (V,E) and a positive integer k, the Proper Interval Completion problem asks whether there exists a set F of at most k pairs of (V \times V)\E such that the graph H = (V,E \cup F) is a proper interval graph.
Bessy, Stéphane, Perez, Anthony
core   +5 more sources

Recognizing edge clique graphs among interval graphs and probe interval graphs

open access: yesApplied Mathematics Letters, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kong, Jing, Wu, Yaokun
openaire   +1 more source

The LexCycle on $\overline{P_{2}\cup P_{3}}$-free Cocomparability Graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2020
A graph $G$ is a cocomparability graph if there exists an acyclic transitive orientation of the edges of its complement graph $\overline{G}$. LBFS$^{+}$ is a variant of the generic Lexicographic Breadth First Search (LBFS), which uses a specific tie ...
Xiao-Lu Gao, Shou-Jun Xu
doaj   +1 more source

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