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dc.contributor.authorThakkar, D.K.-
dc.contributor.authorJamvecha, N.P.-
dc.date.accessioned2023-05-01T02:32:19Z-
dc.date.available2023-05-01T02:32:19Z-
dc.date.issued2017-06-
dc.identifier.citationTHAKKAR, D., & JAMVECHA, N. (2017). International Journal of Mathematical Archive-8 (6), 2017, 227-231 Available online through www. ijma. info ISSN 2229–5046.en_US
dc.identifier.issn2229-5046-
dc.identifier.urihttp://10.9.150.37:8080/dspace//handle/atmiyauni/803-
dc.descriptionAcknowledgement: The authors are thankful to the reviewer for their comments and suggestions for improving the quality of this paper.en_US
dc.description.abstractIn this paper we further study the concept of edge-edge domination in graphs. We observe that the edge-edge domination number of a graph may increase or decrease or remains same when a edge is removed from a graph. We proved a necessary and sufficient condition under which the edge-edge domination number of a graph increases and also we proved a necessary and sufficient condition under which the edge-edge domination number of a graph decreases. For this purpose we introduce two new concepts namely e-dominating neighbourhood of an edge and private edge-edge neighbourhood of an edge with respect to a set containing the edge. Some examples also have been given.en_US
dc.language.isoenen_US
dc.publisherInternational Journal of Mathematical Archiveen_US
dc.subjectedge-edge dominating seten_US
dc.subjectminimal edge-edge dominating seten_US
dc.subjectminimum edge-edge dominating seten_US
dc.subjecte-dominating neighbourhooden_US
dc.subjectPrivate edge-edge neighbourhooden_US
dc.subjectedge-edge domination numberen_US
dc.titleOn edge-edge domination in graphsen_US
dc.typeArticleen_US
Appears in Collections:01. Journal Articles

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