The Basis Number of the Lexicographic Product of Different Ladders with Paths and Cycles

- Journal title : Kyungpook mathematical journal
- Volume 48, Issue 2, 2008, pp.303-315
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2008.48.2.303

Title & Authors

The Basis Number of the Lexicographic Product of Different Ladders with Paths and Cycles

Alzoubi, Maref Yousef Mohammad; Al-Ta`Ani, Reem Rafe` Ayed;

Alzoubi, Maref Yousef Mohammad; Al-Ta`Ani, Reem Rafe` Ayed;

Abstract

In [8] M. Y. Alzoubi and M. M. Jaradat studied the basis number of the composition of paths and cycles with Ladders, Circular ladders and Mbius ladders. Namely, they proved that the basis number of these graphs is 4 except possibly for some cases in each of them. Since the lexicographic product is noncommutative, in this paper we investigate the basis number of the lexicographic product of the different kinds of ladders with paths and cycles. In fact, we prove that the basis number of almost all of these graphs is 4.

Keywords

Cycle space;The lexicographic product;Fold;Basis Number;

Language

English

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