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Hamiltonian Laceability in Line Graphs

by Manjunath. G, Murali. R, Girisha. A
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 98 - Number 12
Year of Publication: 2014
Authors: Manjunath. G, Murali. R, Girisha. A
10.5120/17235-7563

Manjunath. G, Murali. R, Girisha. A . Hamiltonian Laceability in Line Graphs. International Journal of Computer Applications. 98, 12 ( July 2014), 17-25. DOI=10.5120/17235-7563

@article{ 10.5120/17235-7563,
author = { Manjunath. G, Murali. R, Girisha. A },
title = { Hamiltonian Laceability in Line Graphs },
journal = { International Journal of Computer Applications },
issue_date = { July 2014 },
volume = { 98 },
number = { 12 },
month = { July },
year = { 2014 },
issn = { 0975-8887 },
pages = { 17-25 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume98/number12/17235-7563/ },
doi = { 10.5120/17235-7563 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:26:01.534990+05:30
%A Manjunath. G
%A Murali. R
%A Girisha. A
%T Hamiltonian Laceability in Line Graphs
%J International Journal of Computer Applications
%@ 0975-8887
%V 98
%N 12
%P 17-25
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

A Connected graph G is a Hamiltonian laceable if there exists in G a Hamiltonian path between every pair of vertices in G at an odd distance. G is a Hamiltonian-t-Laceable (Hamiltonian-t*-Laceable) if there exists in G a Hamiltonian path between every pair (at least one pair) of vertices at distance't' in G. 1? t ? diamG. In this paper we explore the Hamiltonian-t*-laceability number of graph L (G) i. e. , Line Graph of G and also explore Hamiltonian-t*-Laceable of Line Graphs of Sunlet graph, Helm graph and Gear graph for t=1,2 and 3.

References
  1. Chartrand, H. Hevia, E. B. M. Schultz,Subgraph distance graphs defined by Edge transfers, Discrete math. 170(1997)63-79.
  2. Bayindureng Wu, Jixiang Meng, Hamiltonian Jump graphs, Discrete Mathematics 289(2004)95-106.
  3. Leena N. shenoy and R. Murali, Laceability on a class of Regular Graphs, International Journal of computational Science and Mathematics, volume2, Number 3 (2010), pp 397- 406.
  4. Girisha. A and R. Murali, Hamiltonian laceability in a class of 4-Regular Graphs, IOSR Journal of Mathematics, Volume 4, Issue 1 (Nov. - Dec. 2012), pp 07-12. .
  5. G. Manjunath and R. Murali, Hamiltonian Laceability in the Brick Product C(2n+1,1,r) Advances in Applied Mathematical Biosciences. ISSN2248-9983,Volume5,Number1(2014), pp. 13-32.
  6. G. Manjunath, R. Murali and S. K. Rajendra, Laceability in the Modified Brick Product of Odd Cycles, International Journal of Graph Theory, Accepted.
  7. G. Manjunath and R. Murali, Hamiltonian-t*-Laceability, International Organization of Scientific Research (IOSR), ISSN: 2278-3008, p-ISSN: 2319-7676. Volume 10, Issue 3 Ver. III (May –Jun. 2014), PP 55-63.
Index Terms

Computer Science
Information Sciences

Keywords

Connected graph Line graph Sun let graph Helm graph Wheel graph Gear graph and Hamiltonian-t-laceable graph.

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