On the edge geodetic and edge geodetic domination numbers of a graph

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SAMODIVKIN VLADIMIR

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Journal Paper

Paper Information

Journal: COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION Year:2020 | Volume:5 | Issue:1 Page(s): 41-54

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Title

On the edge geodetic and edge geodetic domination numbers of a graph

Author(s)

SAMODIVKIN VLADIMIR | Issue Writer Certificate

Keywords

domination number

(edge) geodetic number

(edge) geodetic domination number

Abstract

In this paper, we study both concepts of geodetic dominating and edge geodetic dominating sets and derive some tight upper bounds on the edge geodetic and the (edge) geodetic domination numbers. We also obtain attainable upper bounds on the maximum number of elements in a partition of a vertex set of a connected graph into geodetic sets, edge geodetic sets, geodetic dominating sets and edge geodetic dominating sets, respectively.

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APA: Copy

SAMODIVKIN, VLADIMIR. (2020). On the edge geodetic and edge geodetic domination numbers of a graph. COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, 5(1), 41-54. SID. https://sid.ir/paper/702985/en

Vancouver: Copy

SAMODIVKIN VLADIMIR. On the edge geodetic and edge geodetic domination numbers of a graph. COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION[Internet]. 2020;5(1):41-54. Available from: https://sid.ir/paper/702985/en

IEEE: Copy

VLADIMIR SAMODIVKIN, “On the edge geodetic and edge geodetic domination numbers of a graph,” COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, vol. 5, no. 1, pp. 41–54, 2020, [Online]. Available: https://sid.ir/paper/702985/en

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