PBIB-designs and association schemes arising from minimum bi-connected dominating sets of some special classes of graphs

DOI10.1007/S13370-017-0525-5zbMath1399.05163OpenAlexW2754287779MaRDI QIDQ1703419

Peng Zhang

Publication date: 2 March 2018

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: http://eprints-bangaloreuniversity.in/8915/1/Chaluvaraju-Manjunath2018_Article_PBIB-designsAndAssociationSche.pdf

zbMATH Keywords

hypercubeassociation schemesstrongly regular graphpartially balanced incomplete block designscirculant graphbi-connected dominating sets

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Association schemes, strongly regular graphs (05E30) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Graph designs and isomorphic decomposition (05C51)

Related Items (6)

EXISTENCE OF LATIN SQUARE DESIGNS ARISING FROM CLASSICAL GRAPH PARAMETERS B. CHALUVARAJU AND SHAIKH AMEER BASHA ⋮ PBIB-designs and association schemes arising from minimum bi-connected dominating sets of hypercubes ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ PBIB Designs and Their Association Schemes Arising from Minimum Bi-Independent Dominating Sets of Circulant Graphs

Cites Work

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• Some new strongly regular graphs
• Partially balanced incomplete block designs arising from minimal dominating sets of a graph
• On the doubly connected domination number of a graph
• The Non-Existence of Certain PBIB Designs
• The nonsplit domination number of a graph

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