A Near Cyclic (m1, m2, ..., mr )-Cycle System Of Complete Multigraph

Let v, λ be positive integers, λKv denote a complete multigraph on v vertices in which each pair of distinct vertices joining with λ edges. In this article, difference method is used to introduce a new design that decomposes 4Kv into cycles, when v ≡ 2, 10(mod12). This design merging between cyclic...

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Main Authors: Alqadri, Mowafaq, Ibrahim, Haslinda
Format: Article
Language:English
Published: Pushpa Publishing House 2017
Subjects:
Online Access:https://repo.uum.edu.my/id/eprint/30787/1/FEJMS%20101%2008%202017%201671-1690.pdf
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author Alqadri, Mowafaq
Ibrahim, Haslinda
author_facet Alqadri, Mowafaq
Ibrahim, Haslinda
author_sort Alqadri, Mowafaq
collection UUM
description Let v, λ be positive integers, λKv denote a complete multigraph on v vertices in which each pair of distinct vertices joining with λ edges. In this article, difference method is used to introduce a new design that decomposes 4Kv into cycles, when v ≡ 2, 10(mod12). This design merging between cyclic (m1, ..., mr ) -cycle system and near-fourfactor is called a near cyclic (m1, ..., mr ) -cycle system
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spelling uum-307872024-05-19T08:41:21Z https://repo.uum.edu.my/id/eprint/30787/ A Near Cyclic (m1, m2, ..., mr )-Cycle System Of Complete Multigraph Alqadri, Mowafaq Ibrahim, Haslinda QA Mathematics Let v, λ be positive integers, λKv denote a complete multigraph on v vertices in which each pair of distinct vertices joining with λ edges. In this article, difference method is used to introduce a new design that decomposes 4Kv into cycles, when v ≡ 2, 10(mod12). This design merging between cyclic (m1, ..., mr ) -cycle system and near-fourfactor is called a near cyclic (m1, ..., mr ) -cycle system Pushpa Publishing House 2017 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/30787/1/FEJMS%20101%2008%202017%201671-1690.pdf Alqadri, Mowafaq and Ibrahim, Haslinda (2017) A Near Cyclic (m1, m2, ..., mr )-Cycle System Of Complete Multigraph. Far East Journal of Mathematical Sciences (FJMS), 101 (08). pp. 1671-1690. ISSN 0972-0871 https://www.researchgate.net/publication/316611464_A_NEAR_CYCLIC_m_1m_2m_r-CYCLE_SYSTEM_OF_COMPLETE_MULTIGRAPH
spellingShingle QA Mathematics
Alqadri, Mowafaq
Ibrahim, Haslinda
A Near Cyclic (m1, m2, ..., mr )-Cycle System Of Complete Multigraph
title A Near Cyclic (m1, m2, ..., mr )-Cycle System Of Complete Multigraph
title_full A Near Cyclic (m1, m2, ..., mr )-Cycle System Of Complete Multigraph
title_fullStr A Near Cyclic (m1, m2, ..., mr )-Cycle System Of Complete Multigraph
title_full_unstemmed A Near Cyclic (m1, m2, ..., mr )-Cycle System Of Complete Multigraph
title_short A Near Cyclic (m1, m2, ..., mr )-Cycle System Of Complete Multigraph
title_sort near cyclic m1 m2 mr cycle system of complete multigraph
topic QA Mathematics
url https://repo.uum.edu.my/id/eprint/30787/1/FEJMS%20101%2008%202017%201671-1690.pdf
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