Results 41 to 50 of about 3,522,534 (301)

Minimum 2-Tuple Dominating Set of an Interval Graph

open access: yes, 2011
The -tuple domination problem, for a fixed positive integer , is to find a minimum size vertex subset such that every vertex in the graph is dominated by at least vertices in this set.
Tarasankar Pramanik   +2 more
semanticscholar   +1 more source

Interval graphs and interval orders

open access: yesDiscrete Mathematics, 1985
This paper investigates the connection between interval graphs and interval orders, with special attention to the family of interval orders that agree with or provide representations of an interval graph. Relationships between interval graphs and interval orders that concern the number of lengths required for interval representations and bounds on ...
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

On interval representations of graphs

open access: yesDiscrete Applied Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Braga de Queiroz, Aquiles   +2 more
openaire   +1 more source

Simultaneous Interval Graphs [PDF]

open access: yes, 2010
In a recent paper, we introduced the simultaneous representation problem (defined for any graph class C) and studied the problem for chordal, comparability and permutation graphs. For interval graphs, the problem is defined as follows. Two interval graphs G_1 and G_2, sharing some vertices I (and the corresponding induced edges), are said to be ...
Krishnam Raju Jampani, Anna Lubiw
openaire   +2 more sources

Signed interval graphs and bigraphs: A generalization of interval graphs and bigraphs

open access: yesCoRR, 2022
In this paper, we define and characterize signed interval graphs and bigraphs introducing the concept of negative interval. Also we have shown that these classes of graphs are respectively a generalization of well known classes of interval graphs and interval bigraphs.
Ashok Kumar Das, Indrajit Paul
openaire   +2 more sources

Coloring problem of signed interval graphs [PDF]

open access: yesTransactions on Combinatorics, 2019
A signed graph $(G,\sigma)$ is a graph‎ ‎together with an assignment of signs $\{+,-\}$ to its edges where‎ ‎$\sigma$ is the subset of its negative edges‎.
Farzaneh Ramezani
doaj   +1 more source

Strong Interval – Valued Pythagorean Fuzzy Soft Graphs

open access: yesRatio Mathematica, 2023
A Strong interval – valued Pythagorean fuzzy soft sets (SIVPFSS) an extending the theory of Interval-valued Pythagorean fuzzy soft set (IVPFSS). Then we Propose Strong interval valued Pythagorean fuzzy soft graphs (SIVPFSGs).
Mohammed Jabarulla Mohamed   +1 more
doaj   +1 more source

Interval Edge-Colorings of Cartesian Products of Graphs I

open access: yesDiscussiones Mathematicae Graph Theory, 2013
A proper edge-coloring of a graph G with colors 1, . . . , t is an interval t-coloring if all colors are used and the colors of edges incident to each vertex of G form an interval of integers.
Petrosyan Petros A.   +2 more
doaj   +1 more source

A linear time algorithm to compute square of interval graphs and their colouring

open access: yesAKCE International Journal of Graphs and Combinatorics, 2016
The square of a graph G=(V,E), denoted by G2, is a graph on the same vertex set V(G) such that two vertices x and y are adjacent in G2 if and only if there is a path of length one or two between x and y in G.
Satyabrata Paul   +2 more
doaj   +1 more source

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