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GEODETIC RESOLVING NUMBER OF SOME CYCLE RELATED GRAPHS

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T. Jebaraj and Sajitha D
» doi: 10.31838/ecb/2023.12.s1-B.143

Abstract

A set ???? = {????1,????2, … , ???????? } ⊆ ????(????) is a geodetic resolving set of ???? if ???? is a geodetic set and for every ???????? , ???????? ∈ ????(????), the representations are distinct, that is, ????(???????? |???? = {????1, ????2, … , ???????? }) ≠ ????(???????? |???? = {????1, ????2, … , ???????? }) for all ???????? , ???????? ∈ ????(????) . The minimum cardinality of geodetic resolving set is known as a geodetic resolving number, it is denoted by ????????????????(????). Here, we construct the extended mesh and enhanced mesh of ladder graph and step ladder graphs. Also we found the geodetic resolving number of honey comb regular triangulene mesh ????????????????????(????) and honey comb derived regular triangulene mesh ????????????????????????(????)

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