Circuit lengths of graphs for the Picard group

Author:

Beşenk Murat,Güler Bahadır Ö,Değer Ali H,Kesicioğlu Yavuz

Abstract

Abstract In this paper, we examine some properties of suborbital graphs for the Picard group. We obtain edge and circuit conditions, then propose a conjecture for the graph to be forest. This paper is an extension of some results in (Jones et al. in The Modular Group and Generalized Farey Graphs, pp. 316-338, 1991).

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference12 articles.

1. Bigg NL, White AT London Mathematical Society Lecture Note Series 33. In Permutation Groups and Combinatorial Structures. Cambridge University Press, Cambridge; 1979.

2. Keskin, R: Suborbital graphs for the groups of modular and Picard modular. PhD thesis, Karadeniz Technical University, Trabzon, 1996

3. Dixon JD, Mortimer B Graduate Texts in Mathematics 163. In Permutation Groups. Springer, New York; 1996.

4. Schoeneberg B: Elliptic Modular Functions. Springer, Berlin; 1974.

5. Hardy GH, Wright EM: An Introduction to the Theory of Numbers. 5th edition. Oxford University Press, Oxford; 1979.

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