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All Journal JOIV : International Journal on Informatics Visualization
Mowafaq Alqadri
Universiti Utara Malaysia, Sintok, Kedah, Malaysia
Computer Science & IT

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Decompositions of Complete Multigraphs into Cyclic Designs Mowafaq Alqadri; Haslinda Ibrahim; Sharmila Karim
JOIV : International Journal on Informatics Visualization Vol 4, No 2 (2020)
Publisher : Politeknik Negeri Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (58.815 KB) | DOI: 10.30630/joiv.4.2.349

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.
Co-Authors Haslinda Ibrahim Sharmila Karim