Non Split Geodetic Number of a Line Graph

1
Ashalatha K.S
Ashalatha K.S
2
Venkanagouda M Goudar
Venkanagouda M Goudar
3
Venkatesha
Venkatesha
1 Kuvempu University

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GJSFR Volume 13 Issue F11

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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 g [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.

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No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Not applicable for this article.

Ashalatha K.S. 2014. \u201cNon Split Geodetic Number of a Line Graph\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F11): .

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GJSFR Volume 13 Issue F11
Pg. 55- 61
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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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v1.2

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March 22, 2014

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English

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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 g [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.

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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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