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Top Semirelib Graph of a Tree

by K. B. Manjunatha Prasad, Venkanagouda M. Goudar, Shiva Kumar K B
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 67 - Number 22
Year of Publication: 2013
Authors: K. B. Manjunatha Prasad, Venkanagouda M. Goudar, Shiva Kumar K B
10.5120/11525-7246

K. B. Manjunatha Prasad, Venkanagouda M. Goudar, Shiva Kumar K B . Top Semirelib Graph of a Tree. International Journal of Computer Applications. 67, 22 ( April 2013), 9-12. DOI=10.5120/11525-7246

@article{ 10.5120/11525-7246,
author = { K. B. Manjunatha Prasad, Venkanagouda M. Goudar, Shiva Kumar K B },
title = { Top Semirelib Graph of a Tree },
journal = { International Journal of Computer Applications },
issue_date = { April 2013 },
volume = { 67 },
number = { 22 },
month = { April },
year = { 2013 },
issn = { 0975-8887 },
pages = { 9-12 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume67/number22/11525-7246/ },
doi = { 10.5120/11525-7246 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:26:07.792079+05:30
%A K. B. Manjunatha Prasad
%A Venkanagouda M. Goudar
%A Shiva Kumar K B
%T Top Semirelib Graph of a Tree
%J International Journal of Computer Applications
%@ 0975-8887
%V 67
%N 22
%P 9-12
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this communications, the concept of top semirelib graph of a planar graph is introduced. We present a characterization of graphs, whose top semirelib graphs are always seperable. Further characterize graph whose plan Tps(T ) is planar and outer planar. Lastly we proved that Tps(T ) is always noneulerian and non Hamiltonian.

References
  1. Chartrand G, Geller, D and Hedetniemi, S. J. Combinatorial Theory (1971)10:12.
  2. Harary F. , Graph theory, Addition - Weseley Reading . Mass. (1969), pp 34 and 107.
  3. Harary, F. , Annals of New York Academy of Science,(1975),175 :198.
  4. Kulli V R . , On Minimally Non- Outer Planar Graphs, Proceeding of the Indian National Science Academy, Vol. 41, Part A, No. 3 (1975), pp 275 -280.
  5. Venkanagouda M Goudar. , K B Manjunatha. "Pathos Semirelib Graph of a Tree", in the Global Journal of Mathematical Sciences: Theory and Practical Vol 5, No. 2,(2013),pp1-6.
Index Terms

Computer Science
Information Sciences

Keywords

Top Semirelib

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