Non Split Geodetic Number of a Line Graph

Article ID

PJ992

Non Split Geodetic Number of a Line Graph

Ashalatha K.S
Ashalatha K.S Kuvempu University
Venkanagouda M Goudar
Venkanagouda M Goudar
Venkatesha
Venkatesha
DOI

Abstract

A set S V [L(G)] is a non split geodetic set of L(G), if S is a geodetic set and is connected. The non split geodetic number of a line graph L(G), is denoted by gns[L(G)], is the minimum cardinality of a non split geodetic set of L(G). In this paper we obtain the non split geodetic number of line graph of any graph. Also obtain many bounds on non split geodetic number in terms of elements of G and covering number of G. We investigate the relationship between non split geodetic number and geodetic number.

Non Split Geodetic Number of a Line Graph

A set S V [L(G)] is a non split geodetic set of L(G), if S is a geodetic set and is connected. The non split geodetic number of a line graph L(G), is denoted by gns[L(G)], is the minimum cardinality of a non split geodetic set of L(G). In this paper we obtain the non split geodetic number of line graph of any graph. Also obtain many bounds on non split geodetic number in terms of elements of G and covering number of G. We investigate the relationship between non split geodetic number and geodetic number.

Ashalatha K.S
Ashalatha K.S Kuvempu University
Venkanagouda M Goudar
Venkanagouda M Goudar
Venkatesha
Venkatesha

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Ashalatha K.S. 2014. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F11): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR Volume 13 Issue F11
Pg. 55- 61
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Non Split Geodetic Number of a Line Graph

Ashalatha K.S
Ashalatha K.S Kuvempu University
Venkanagouda M Goudar
Venkanagouda M Goudar
Venkatesha
Venkatesha

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