The upper edge geodetic number and the forcing edge geodetic number of a graph
An edge geodetic set of a connected graph \(G\) of order \(p \geq 2\) is a set \(S \subseteq V(G)\) such that every edge of \(G\) is contained in a geodesic joining some pair of vertices in \(S\). The edge geodetic number \(g_1(G)\) of \(G\) is the minimum cardinality of its edge geodetic sets and a...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
AGH Univeristy of Science and Technology Press
2009-01-01
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Series: | Opuscula Mathematica |
Subjects: | |
Online Access: | http://www.opuscula.agh.edu.pl/vol29/4/art/opuscula_math_2934.pdf |