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On Separating Path and Tree Systems in Graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science
We explore the concept of separating systems of vertex sets of graphs. A separating system of a set $X$ is a collection of subsets of $X$ such that for any pair of distinct elements in $X$, there exists a set in the separating system that contains ...
Ahmad Biniaz   +8 more
doaj   +1 more source

Planar linear arrangements of outerplanar graphs

open access: yesIEEE Transactions on Circuits and Systems, 1988
Given an n-vertex outerplanar graph G, we consider the problem of arranging the vertices of G on a line such that no two edges cross and various cost measures are minimized. We present efficient algorithms for generating layouts in which every edge (i,j) of G does not exceed a given bandwidth b(i,j), the total edge length and the cutwidth of the layout
Frederickson, Greg N.   +1 more
openaire   +3 more sources

DEFICIENCY OF OUTERPLANAR GRAPHS

open access: yesProceedings of the YSU A: Physical and Mathematical Sciences, 2017
An edge-coloring of a graph G with colors $1,2,...,t$ is an interval $t$-coloring, if all colors are used, and the colors of edges incident to each vertex of $G$ are distinct and form an interval of integers. A graph $G$ is interval colorable, if it has an interval $t$-coloring for some positive integer $t$.
openaire   +1 more source

Injective Chromatic Number of Outerplanar Graphs

open access: yesTaiwanese Journal of Mathematics, 2018
An injective coloring of a graph is a vertex coloring where two vertices with common neighbor receive distinct colors. The minimum integer $k$ that $G$ has a $k-$injective coloring is called injective chromatic number of $G$ and denoted by $ _i(G)$. In this paper, the injective chromatic number of outerplanar graphs with maximum degree $ $ and girth $
Mozafari-Nia, Mahsa, Omoomi, Behnaz
openaire   +3 more sources

Exploring Geometrical Properties of Annihilator Intersection Graph of Commutative Rings

open access: yesAxioms
Let Λ denote a commutative ring with unity and D(Λ) denote a collection of all annihilating ideals from Λ. An annihilator intersection graph of Λ is represented by the notation AIG(Λ).
A. Khabyah, M. A. Ansari
semanticscholar   +1 more source

Oriented colorings of 2-outerplanar graphs

open access: yesInformation Processing Letters, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Esperet, Louis, Ochem, Pascal
openaire   +3 more sources

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