Results 51 to 60 of about 3,558 (256)

E-cordial Labeling for Cartesian Product of Some Graphs [PDF]

open access: yes, 2011
We investigate E-cordial labeling for some cartesian product of graphs. We prove that the graphs Kn × P2 and Pn × P2 are E-cordial for n even while Wn × P2 andK1,n × P2 are E-cordial for n odd.
Vaidya, S. K., Vyas, N. B.
core   +2 more sources

The Crossing Numbers of Products of Path with Graphs of Order Six

open access: yesDiscussiones Mathematicae Graph Theory, 2013
The crossing numbers of Cartesian products of paths, cycles or stars with all graphs of order at most four are known. For the path Pn of length n, the crossing numbers of Cartesian products G⃞Pn for all connected graphs G on five vertices are also known.
Klešč Marián, Petrillová Jana
doaj   +1 more source

Distance antimagic labelings of Cartesian product of graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
Let be a graph of order n. Let be a bijection. The weight w(v) of a vertex v with respect to the labeling f is defined by where N(v) is the open neighborhood of v. The labeling f is called a distance antimagic labeling if for any two distinct vertices v1,
Nancy Jaseintha Cutinho   +2 more
doaj   +1 more source

A New Framework to Approach Vizing’s Conjecture

open access: yesDiscussiones Mathematicae Graph Theory, 2021
We introduce a new setting for dealing with the problem of the domination number of the Cartesian product of graphs related to Vizing’s conjecture. The new framework unifies two different approaches to the conjecture.
Brešar Boštjan   +4 more
doaj   +1 more source

Distinguishing Cartesian products of countable graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ehsan Estaji   +4 more
openaire   +2 more sources

Zip product of graphs and crossing numbers [PDF]

open access: yes, 2020
D. Bokal proved that the crossing number is additive for the zip product under the condition of having two coherent bundles in the zipped graphs. This property is very effective when dealing with the crossing numbers of (capped) Cartesian product of ...
Dong, F. M.   +7 more
core   +1 more source

Strong perfectness of the generalized Cartesian product of graphs [PDF]

open access: yes, 1997
In this paper we give a necessary and sufficient condition for the generalized Cartesian product to be strongly perfect.
Szelecka, Alina   +3 more
core   +1 more source

Isoperimetric Inequalities for Cartesian Products of Graphs [PDF]

open access: yesCombinatorics, Probability and Computing, 1998
The authors define another number (isoperimetric invariant) describing the bisection behavior of graphs with weights on vertices and edges, which specializes to Mohar's isoperimetric number and to the Cheeger constant for some choices of weights. They prove an alternative characterization of this number which replaces the minimum over the bisections of
Fan R. K. Chung, Prasad Tetali
openaire   +2 more sources

Game chromatic number of Cartesian and corona product graphs [PDF]

open access: yes, 2018
The game chromatic number $\chi_g$ is investigated for Cartesian product $G\square H$ and corona product $G\circ H$ of two graphs $G$ and $H$. The exact values for the game chromatic number of Cartesian product graph of $S_{3}\square S_{n}$ is found ...
Syed Ahtsham Ul Haq BOKHARY   +5 more
core   +2 more sources

Super Fair Dominating Set in the Cartesian Product of Graphs [PDF]

open access: yes, 2020
In this paper, we characterize the super fair dominating set in the Cartesian product of two graphs and give some important ...
Enrico L. Enriquez, Glenna T. Gemina
core   +1 more source

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