Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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SQUARE CONGRUENCE GRAPHS

  • Janardhanan Suresh Kumar (PG and Research Department of Mathematics NSS Hindu College) ;
  • Sarika M. Nair (PG and Research Department of Mathematics NSS Hindu College)
  • Received : 2022.07.18
  • Accepted : 2022.09.16
  • Published : 2023.07.31
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Abstract

For each positive integer n, a square congruence graph S(n) is the graph with vertex set H = {1, 2, 3,...., n} and two vertices a, b are adjacent if they are distinct and a2 ≡ b2 (mod n). In this paper we investigate some structural properties of square congruence graph and we obtain the relationship between clique number, chromatic number and maximum degree of square congruence graph. Also we study square congruence graph with p vertices or 2p vertices for any prime number p.

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References

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