JOIV : International Journal on Informatics Visualization
Vol 4, No 2 (2020)

Decompositions of Complete Multigraphs into Cyclic Designs

Mowafaq Alqadri (Universiti Utara Malaysia, Sintok, Kedah, Malaysia)
Haslinda Ibrahim (Universiti Utara Malaysia, Sintok, Kedah, Malaysia)
Sharmila Karim (Universiti Utara Malaysia, Sintok, Kedah, Malaysia)



Article Info

Publish Date
26 May 2020

Abstract

Let  and  be positive integer,  denote a complete multigraph. A decomposition of a graph  is a set of subgraphs of  whose edge sets partition the edge set of . The aim of this paper, is to decompose a complete multigraph  into cyclic -cycle system according to specified conditions. As the main consequence, construction of decomposition of  into cyclic Hamiltonian wheel system, where , is also given. The difference set method is used to construct the desired designs.

Copyrights © 2020






Journal Info

Abbrev

joiv

Publisher

Subject

Computer Science & IT

Description

JOIV : International Journal on Informatics Visualization is an international peer-reviewed journal dedicated to interchange for the results of high quality research in all aspect of Computer Science, Computer Engineering, Information Technology and Visualization. The journal publishes state-of-art ...