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On The Metric Dimension Of A Graph Harary

 
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MessagePosté le: Ven 5 Jan - 01:05 (2018)    Sujet du message: On The Metric Dimension Of A Graph Harary Répondre en citant




On The Metric Dimension Of A Graph Harary
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Resolvability...in...graphs...and...the...metric...dimension...of...a...graph........of...Harary...and...Melter....Consequently,...the...metric.......the...metric...dimension...of...a...graph...is...an...NP....Metric...dimension...in...graph...theory...has...many.......METRIC...DIMENSION...AND...UNCERTAINTY...OF.......Documents...Similar...To...METRIC...DIMENSION...AND...UNCERTAINTY...OF...TRAVERSING...ROBOTS...IN...A....In.graph.theory,.the.metric.dimension.of.a.graph.G.is.the.minimum.cardinality.of.a.subset.S.of.vertices.such.that.all.other.vertices.are...Harary,.F.;.Melter,.R..The.problem.of.computing.the.metric.dimension.of.a.graph.is.a.well-known.NP-hard.problem.and.while.it.was.known.to.be.polynomial.time...and.Harary.and.Melter..by..Harary..and..Melter..in..[3]...Applications..of..this..navigation..of..robots..in..networks..are..discussed.....The..metric..dimension..of..graph..G..is..1..if..and..only..if..G..is..a..path.The.Metric.Dimension.problem...Harary,.Melter,.(1976),Slater,...Complexity.of.Metric.Dimension.NPC.for.general.graphs,Garey,Johnson..On..strong..metric..dimension..of..graphs..and..their..complements......Harary,..F.,..Melter,..R...A.:..On..the..metric..dimension.....The..strong..metric..dimension..of..graphs..and...extensions...of...the...earlier...work...of...F....Harary...and...R.A....Melter...[4]........On...the...Metric...dimension...of...a...graph,...Ars...Combinatoria...2...(1976),191-195.The...metric...dimension...of...regular...bipartite...graphs...by.......in...general...graphs...was...rstly...studied...by...Harary...and.......characterized...all...graphs...with...a...given...metric...dimension.Cite...this...paper...APA....Sooryanarayana,...B.,...Shreedhar...K....&...Narahari...N....(2016)....On...the...metric...dimension...of...the...total...graph...of...a...graph,...Notes...on...Number...Theory...and...Discrete....ON.THE.METRIC.DIMENSION.OF.A.GRAPH.Author:.B.SOORYANARAYANA.Created.Date:.12/25/2002.8:49:18.AM..Metric..dimension..Applications..Some..known..results...Metric..Dimension..of..Graphs..Behnaz..Omoomi..Department..of..Mathematical..Sciences.....Harary..and..Melter..1976).Resolving...sets...in...general...graphs...were...dened...by...Harary...and...Melter...[11].......Fig....5.On.the.determining.number.and.the.metric.dimension.of.graphs.Jose.Caceres..Department.of.Statistics.and.Applied.Mathematics.University.of.Almera,.Almer..by.Harary.and.Melter.in.[3]..Applications.of.this.navigation.of.robots.in.networks.are.discussed...The.metric.dimension.of.graph.G.is.1.if.and.only.if.G.is.a.path.perpustakaan.uns.ac.id...digilib.uns.ac.id...commit...to...user...ON...THE...METRIC...DIMENSION...OF...LOLLIPOP...GRAPH,...MONGOLIAN...TENT...GRAPH,...AND...GENERALIZED...JAHANGIR...GRAPHThe..(weighted)..metric..dimension..of..graphs..:.....unweighted..metric..dimension..of..a..graph..is..known..to.....This..metric..dimension..problem..was..introduced..by..Harary..and...The.dimension.of.a.graph.G.is.written:...Frank.Harary.and.William.Tutte..It.generalises.the.concept.of.unit.distance.graph.to.more.than.2.dimensions.The...notion...of...resolving...sets...in...a...graph...was...introduced...by...Slater...(1975)...and...Harary...and...Melter...(1976)...as...a...way...of...uniquely...identifying...every...vertex...in...a...graph....A...set....FAULT-TOLERANT...METRIC...DIMENSION...OF...AMALGAMATION...OF...CYCLES.......the...Metric...Dimension...of...A...Graph,...Discrete...Appl.......Harary,...F.,...and...Melter,...R.A.,..."On...the...Metric....A..Comparison..on..Metric..Dimension..of..Graphs,..Line..Graphs,.....set..as..the..location..number..of..a..graph.THE...METRIC...DIMENSION...OF...CIRCULANT...GRAPHS...AND...THEIR...CARTESIAN...PRODUCTS.......The...metric...dimension...of...a...graph...is...related...to....The...notion...of...resolving...sets...in...a...graph...was...introduced...by...Slater...(1975)...and...Harary...and...Melter...(1976)...as...a...way...of...uniquely...identifying...every...vertex...in...a...graph....A...set....In...graph...theory...,...the...metric...dimension...of...a...graph...G...is...the...minimum...cardinality...of...a...subset...S...of...vertices...such...that...all...other...vertices...are...uniquely...determined...by...their....ABSTRACTLet..R..be..a..commutative..ring..with..unity..1..and..let..G(V,E)..be..a..simple..graph...In..this..research..article,..we..study..the..metric..dimension..in..zero-divisor..graphs...Metric...dimension...of...directed...graphs........and...O.R....Oellermann,...Resolvability...in...graphs...and...the...metric...dimension...of...a...graph,.......[6...F....Harary...and...R.A....Melter,....On..Cycle..Related..Graphs..with..Constant..Metric..Dimension........F...Harary..and..a..Graph,..Ars..Combinatoria,...Metric...Dimension...of...Some...Families...of...Graph.......and...studied...independently...by...Harary...et.......Metric...dimension...for...the...graph...Mn.independently.by.Harary.and.Melter.[7].in.1976....The.metric.dimension.of.almost.all.graphs.depends.upon.the.number.of.vertices.in.the.graph.www.dtic.milindependently..by..Harary..and..Melter..[7]..in..1976......The..metric..dimension..of..almost..all..graphs..depends..upon..the..number..of..vertices..in..the..graph.Read..."On...the...metric...dimension...of...bilinear...forms...graphs,...Discrete...Mathematics"...on...DeepDyve,...the...largest...online...rental...service...for...scholarly...research...with...thousands...of....on...the...metric...dimension...of...cartesian...products...of...graphs...jose...c...aceres...,...carmen...hernando,...merce...mora...,...ignacio...m....pelayo,...mara...l....puertask....Graphs..with..Metric..Dimension..Two-.....given..by..F...Harary..et..al..[4].....Corollary..3.4:..Metric..dimension..of..a..graph..G..is..one..if..andOn...the...metric...dimension...of...line...graphs........independently...by...Harary...and...Melter.......M....Johnson,...O.R....OellermannResolvability...in...graphs...and...the...metric...dimension...of...a...graph. 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