Advances and Applications in Discrete Mathematics
Volume 19, Issue 2, Pages 147 - 159
(April 2018) http://dx.doi.org/10.17654/AADMApr2018_147_159 |
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SOME PROPERTIES ON THE DISJUNCTIVE PRODUCT OVER GRAPHS OF MONOGENIC SEMIGROUPS
Nihat Akgüneş
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Abstract: In [7], it has been recently defined a new graph on monogenic semigroups (with zero) having elements The vertices are the nonzero elements and, for any two distinct vertices and are adjacent if in As a continuing study, in [3], it has been investigated some well known parameters (diameter, girth, radius, etc.) over to the lexicographic product.
In the light of above references, our main aim in this paper is to extend these studies over to the disjunctive product. In detail, we will investigate the diameter, radius, girth, maximum and minimum degree, chromatic number, clique number and domination number for the disjunctive product of any two graphs and |
Keywords and phrases: monogenic semigroup, clique number, chromatic number, domination number, disjunctive product, co-normal product. |
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