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Home»Articles»On Some Complete Tripartite Graphs that Decline Continuous Monotonic Decomposition

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Asian Journal of Engineering and Applied Technology (AJEAT)

Editor Dr. Seshadri Ramkumar
Print ISSN : 2249-068X
Frequency : Quarterly

On Some Complete Tripartite Graphs that Decline Continuous Monotonic Decomposition

Author : Joseph Varghese 1 and A. Antonysamy 2
Volume 1 No.1 January-June 2012 pp

Abstract

1Department of Mathematics, Christ University, Bangalore – 560 029, Karnataka, India
2 Department of Mathematics, St. Xavier’s College, Kathmandu, Nepal
E-mail: [email protected], [email protected]
(Received on 15 December 2011 and accepted on 05 March 2012)Abstract

A collection of complete tripartite graphs, viz., K1,3,m, K2,3m, K2,5m and K3,5,m do not accept Continuous Monotonic Decomposition(CMD). It is shown that by an addition or removal of a single edge will make these graphs accept CMD. Eventually, the discussion helps to find a series of numbers which are not triangular.

Keywords

Graph Decomposition, Extremal Graphs, Complete Tripartite Graphs, Continuous Monotonic Decomposition, Triangular Numbers

Full Text:

References

Asian Journal of Engineering and Applied Technology is a peer-reviewed International research journal aiming at promoting and publishing original high quality research in all disciplines of engineering and applied technology. All research articles submitted to AJEAT should be original in nature, never previously published in any journal or presented in a conference or undergoing such process across the world. All the submissions will be peer-reviewed by the panel of experts associated with particular field. Submitted papers should meet the internationally accepted criteria and manuscripts should follow the style of the journal for the purpose of both reviewing and editing.

AJEAT is covering all aspects of Engineering and Applied Technology areas. Topics include, but are not limited to:

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Computer science and information science
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Textile & Fashion Technology

1Department of Mathematics, Christ University, Bangalore - 560 029, Karnataka, India 2 Department of Mathematics, St. Xavier’s College, Kathmandu, Nepal E-mail: [email protected], [email protected] (Received on 15 December 2011 and accepted on 05 March 2012)Abstract
A collection of complete tripartite graphs, viz., K1,3,m, K2,3m, K2,5m and K3,5,m do not accept Continuous Monotonic Decomposition(CMD). It is shown that by an addition or removal of a single edge will make these graphs accept CMD. Eventually, the discussion helps to find a series of numbers which are not triangular.

Editor-in-Chief
Dr. Seshadri Ramkumar
Department of Environmental Toxicology, Texas Tech University, Texas
[email protected]
Editorial Advisory Board
Dr. Kamarul Ariffin Bin Noordin
Department of Electrical Engineering, University of Malaya, Malaysia
[email protected]
Dr. Benjamin T.F. Chung
Department of Mechanical Engineering, University of Akron, Akron, USA
[email protected]
Dr. Mohd Faiz Bin Mohd Salleh
Department of Electrical Engineering, University of Malaya, Malaysia
[email protected]
Dr. Suhana Binti Mohd Said
Department of Electrical Engineering, University of Malaya, Malaysia
[email protected]
Dr. Norrima Binti Mokhtar
Department of Electrical Engineering, University of Malaya, Malaysia
[email protected]
Dr. Mohamadariff
Department of Electrical Engineering, University of Malaya, Malaysia
[email protected]

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    Editorial Note

    Editorial Dr. Seshadri Ramkumar

    Editor-in-Chief
    Dr. Seshadri Ramkumar
    Department of Environmental Toxicology, Texas Tech University, Texas
    [email protected]
    Editorial Advisory Board
    Dr. Kamarul Ariffin Bin Noordin
    Department of Electrical Engineering, University of Malaya, Malaysia
    [email protected]
    Dr. Benjamin T.F. Chung
    Department of Mechanical Engineering, University of Akron, Akron, USA
    [email protected]
    Dr. Mohd Faiz Bin Mohd Salleh
    Department of Electrical Engineering, University of Malaya, Malaysia
    [email protected]
    Dr. Suhana Binti Mohd Said
    Department of Electrical Engineering, University of Malaya, Malaysia
    [email protected]
    Dr. Norrima Binti Mokhtar
    Department of Electrical Engineering, University of Malaya, Malaysia
    [email protected]
    Dr. Mohamadariff
    Department of Electrical Engineering, University of Malaya, Malaysia
    [email protected]

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