A study on Type-2 isomorphic circulant graphs. Part 2: Type-2 isomorphic circulant graphs of orders 16, 24, 27
Abstract
This study is the 2nd part of a detailed study on Type-2 isomorphic circulant graphs having ten parts v2-1-v2-10. Definition of Type-2 isomorphism of circulant graphs Cn(R) w.r.t. m was further modified by the author by considering m > 1 divides (n, r), m3 divides n and r∈ R and studied Type-2 isomorphic circulant graphs w.r.t. m = 2. This modification simplifies our calculations while finding isomorphic circulant graphs of Type-2. In this paper, using the modified definition d4.2, we obtain Type-2 isomorphic circulant graphs of orders 16, 24 and 27 and show that the total number of pairs of Type-2 isomorphic circulant graphs of orders 16 and 24 are 8 and 32, respectively and the total number of triples of Type-2 isomorphic circulant graphs of order 27 are 12.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.