PBIB Designs Constructed Through Edges and Paths of Graphs

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2020 by IJMTT Journal
Volume-66 Issue-5
Year of Publication : 2020
Authors : Gurinder Pal Singh, Davinder Kumar Garg
  10.14445/22315373/IJMTT-V66I5P509

MLA

MLA Style:Gurinder Pal Singh, Davinder Kumar Garg "PBIB Designs Constructed Through Edges and Paths of Graphs" International Journal of Mathematics Trends and Technology 66.4 (2020):70-74. 

APA Style: Gurinder Pal Singh, Davinder Kumar Garg.(2020).PBIB Designs Constructed Through Edges and Paths of Graphs International Journal of Mathematics Trends and Technology, 70-74.

Abstract
In this paper, partially balanced incomplete block (PBIB) designs with two and higher associate classes have been constructed by using edges of incidence vertices and closed paths in various graphs. Forthese formulations, we have considered pentagon graph, pappus graph and Peterson graph for construction offive, three and two associateclassPBIB designsalong with their association schemes respectively. Various kinds of efficiencies of these constructed PBIB designs are also computed for the purpose of comparisons.

Reference
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Keywords
Partially balanced incomplete block design, path, vertices, edge, pentagon graph, regular graph