Journals / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 4

On some results on IP-graphs

Pages
560–570
Publication Date
2022-11-05
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We also investigate some of its properties.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The IP-graph of a naturally valenced association scheme and some of its properties have been studied recently.
📊
Key Findings & Data:In this paper we introduce the bipartite version of this graph for a naturally valenced association scheme (X,S), denoted by BIP(S).
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Conclusion & Impact:We also investigate some of its properties.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Association scheme · common divisor graph · prime graph

Abstract

The IP-graph of a naturally valenced association scheme and some of its properties have been studied recently. In this paper we introduce the bipartite version of this graph for a naturally valenced association scheme (X,S), denoted by BIP(S). We also investigate some of its properties.

Özet

The IP-graph of a naturally valenced association scheme and some of its properties have been studied recently. In this paper we introduce the bipartite version of this graph for a naturally valenced association scheme (X,S), denoted by BIP(S). We also investigate some of its properties.

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Cite This Article

HAFEZIEH, R., IRANMANESH, M. (2022). On some results on IP-graphs. Turkish Journal of Mathematics, Cilt: 37 - Sayı: 4, 560–570. https://ajindex.com/articles/608328

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References (10)

  1. Bertram, E. A., Herzog, M., Mann, A.: On a graph related to conjugate classes of groups. B. Lond. Math. Soc. 22, 569–573 (1990).
  2. Camina, R.: Schemes and the IP -graph. J. Algebr. Comb. 28, 271–279 (2008).
  3. Hafezieh, R., Iranmanesh, M. A.: Bipartite divisor graph for the product of integer subsets. Bull. of the Aust. Math. Soc. 288–297 (2013).
  4. Iranmanesh, M. A., Praeger, C. E.: Bipartite divisor graphs for integer subsets. Graph Combinator. 26, 95–105 (2010).
  5. Isaacs, I. M., Praeger, C. E.: Permutation group subdegrees and the common divisor graph. J. Algebra, 159, 158–175 (1993).
  6. Kaplan, G.: On groups admitting a disconnected common divisor graph. J. Algebra, 193, 616-628 (1997).
  7. Neumann, P. M.: Coprime suborbits of transitive permutation groups. J. Lond. Math. Soc. 47, (2) 285–293 (1993).
  8. Xu, B.: Valencies and IP -graphs of association scheme. J. Algebra, 321, 2521–2539 (2009).
  9. Xu, B.: On IP -graph of association schemes and applications to group theory. J. Comb. Theory Ser. A 117, 981–995 (2010).
  10. Zieschang, P. H.: Theory of Association Scheme. Springer Monogr. Math., Springer-Verlag, Berlin, 2005.