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Particular Type of Hamiltonian Graphs and their Properties

by Kanak Chandra Bora, Bichitra Kalita
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 96 - Number 3
Year of Publication: 2014
Authors: Kanak Chandra Bora, Bichitra Kalita
10.5120/16776-6351

Kanak Chandra Bora, Bichitra Kalita . Particular Type of Hamiltonian Graphs and their Properties. International Journal of Computer Applications. 96, 3 ( June 2014), 31-36. DOI=10.5120/16776-6351

@article{ 10.5120/16776-6351,
author = { Kanak Chandra Bora, Bichitra Kalita },
title = { Particular Type of Hamiltonian Graphs and their Properties },
journal = { International Journal of Computer Applications },
issue_date = { June 2014 },
volume = { 96 },
number = { 3 },
month = { June },
year = { 2014 },
issn = { 0975-8887 },
pages = { 31-36 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume96/number3/16776-6351/ },
doi = { 10.5120/16776-6351 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:20:48.558405+05:30
%A Kanak Chandra Bora
%A Bichitra Kalita
%T Particular Type of Hamiltonian Graphs and their Properties
%J International Journal of Computer Applications
%@ 0975-8887
%V 96
%N 3
%P 31-36
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, various properties of particular type of Hamiltonian graph and it's edge-disjoint Hamiltonian circuits have been discussed. It has been found that the intersection graph obtained from Euler Diagram is not Hamiltonian. The graph H(3m + 7, 6m + 14) for m ? 1, which is planner, regular of degree four, non-bipartite but Hamiltonian graph , has perfect matching 4 with non- repeated edge for simultaneous changes of m= 2n+1 for n?0.

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Index Terms

Computer Science
Information Sciences

Keywords

Hamiltonian Regular Edge-disjoint Hamiltonian circuits Perfect matching Intersection graph.

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