Acyclic edge coloring of complete r-partite graphs

dc.accession.numberT00323
dc.classification.ddc511.56 TEJ
dc.contributor.advisorMuthu, Rahul
dc.contributor.authorTeja, V. Krishna
dc.date.accessioned2017-06-10T14:39:18Z
dc.date.accessioned2025-06-28T10:30:22Z
dc.date.available2017-06-10T14:39:18Z
dc.date.issued2011
dc.degreeM. Tech
dc.description.abstractAn acyclic edge coloring of a graph G is a proper edge coloring of G which has no dichromatic cycle. The minimum number of colors required to acyclically edge color graph G is called its acyclic chromatic index, denoted a’ (G). In this thesis, we present an acyclic edge coloring for complete graphs Ka, b, where a>b and a is prime, using Δ (G) =a colors. An acyclic edge coloring for complete tripartite graphs, and r-partite graphs (r>3) is presented. These colorings follow patterns similar to those used in the case of complet bipartite graphs.
dc.identifier.citationTeja, V. Krishna (2011). Acyclic edge coloring of complete r-partite graphs. Dhirubhai Ambani Institute of Information and Communication Technology, iv, 45 p. (Acc.No: T00323)
dc.identifier.urihttp://ir.daiict.ac.in/handle/123456789/360
dc.publisherDhirubhai Ambani Institute of Information and Communication Technology
dc.student.id200911042
dc.subjectGraph theory
dc.subjectMap-coloring problem
dc.subjectGraph coloring
dc.subjectAlgorithms
dc.subjectGraph partitioning
dc.titleAcyclic edge coloring of complete r-partite graphs
dc.typeDissertation

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