The week's pick
Random Articles
Reseach Article
Enumeration of Basic Hamilton Cycles in the Mangoldt Graph
by
Levaku Madhavi,
Tekuri Chalapathi
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 99 - Number 4 |
| Year of Publication: 2014 |
| Authors: Levaku Madhavi, Tekuri Chalapathi |
10.5120/17363-7882
|
Levaku Madhavi, Tekuri Chalapathi . Enumeration of Basic Hamilton Cycles in the Mangoldt Graph. International Journal of Computer Applications. 99, 4 ( August 2014), 44-48. DOI=10.5120/17363-7882
@article{
10.5120/17363-7882,
author = {
Levaku Madhavi,
Tekuri Chalapathi
},
title = { Enumeration of Basic Hamilton Cycles in the Mangoldt Graph },
journal = {
International Journal of Computer Applications
},
issue_date = { August 2014 },
volume = { 99 },
number = { 4 },
month = { August },
year = { 2014 },
issn = { 0975-8887 },
pages = {
44-48
},
numpages = {9},
url = {
https://ijcaonline.org/archives/volume99/number4/17363-7882/
},
doi = { 10.5120/17363-7882 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:27:20.497030+05:30
%A Levaku Madhavi
%A Tekuri Chalapathi
%T Enumeration of Basic Hamilton Cycles in the Mangoldt Graph
%J International Journal of Computer Applications
%@ 0975-8887
%V 99
%N 4
%P 44-48
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract
The Mangoldt graph Mn is an arithmetic function, namely, Mangoldt function ?(n), n ? 1 an integer. In this paper the notion of a basic Hamilton cycles in Mn is introduced and their number is enumerated.
References
- Apostol, T. M. , - Introduction to Analytic Number Theory, Springer international student Edition (1989).
- Berrizbeitia P. and Giudici R. E. , - Counting pure k – cycles in sequences of Cayley Graphs, Discrete Math. , 149, 11-18 (1996).
- Berrizbeitia P. and Giudici R. E. ,; - On Cycles in the sequence of unitary Cayley graphs. Reporte Techico No. 01-95, Universibad Simon Bolivar, Dpto, de Mathematics, Caracas, Venezuela (1995).
- Bondy J. A. and Murty U. S. R. ; - Graph Theory with Applications, Macmillan, London (1976).
- Dejter I. and Giudici R. E. ; On unitary Cayley graphs, JCMCC, 18 121-124 (1995).
- Dickson E. – History of Theory of Numbers, Vol. 1, Chelsea Publishing Company (1952).
- Madhavi L. and Maheswari B. ; - Enumeration of Hamilton cycles and triangles in quadratic residue Cayley graphs, Chamchuri J. Math. , 1(1), 95-103 (2009).
- Madhavi, L. , and Maheswari, B. , - Edge cover Domination in Mangoldt Graph, MEJS, 3(1): 37-51, (2011).
- Maheswari, B. , and Madhavi, L. , - Vertex Domination in Mangoldt Graph, Journal of APSMS, Vol(1), NO. 2, pp 184-190, (2008).
- Maheswari, B. , and Madhavi, L. , - Counting of Triangles in Mangoldt Graph, J. Pure and Appl. , Phys. Vol. 20, NO. 3, pp. 165-169, July-Sep (2008).
- Nathanson, B. Melvyn. , - Connected Components of Arithmetic Graphs, Monat. fur. Math, 29(1980).
- Vasumathi, N. , - Number Theoretic Graphs, Doctoral Thesis submitted to S. V. University, Tirupati, India, (1994).
Index Terms
Computer Science
Information Sciences
Keywords