Advances and Applications in Discrete Mathematics
Volume 22, Issue 1, Pages 41 - 53
(September 2019) http://dx.doi.org/10.17654/ |
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PATH-INDUCED CLOSED GEODETIC NUMBERS OF SOME GRAPHS
Omar I. Cauntongan and Imelda S. Aniversario
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Abstract: This study deals with a new geodetic invariant, the path-induced closed geodetic number of a connected simple graph G. We investigate its properties and characterize the path-induced closed geodetic sets of some common graphs. The path-induced closed geodetic numbers of these graphs are also determined. |
Keywords and phrases: geodesic, geodetic set, geodetic number, path-induced closed geodetic set, path-induced closed geodetic number.
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