Research Article

On The Fundamental Properties of Circular Graphs

Number: 014 December 30, 2025
TR EN

On The Fundamental Properties of Circular Graphs

Abstract

Circular graphs, which appear as incidence graphs of circular spaces, demonstrate that any discrete structure in projective geometry can be studied by defining it as a bipartite graph model. In this study, circular graphs are partially classified by examining some of their basic properties. Java source code that determines whether the given graphs are circular using the Depth-First Search (DFS) algorithm is provided.

Keywords

References

  1. [1] A.S. Asratian, T.M.J. Denley and R. Hoggkvist, Bipartite graphs and their applications, Cambridge Uni, United Kingdom. Press,1998.
  2. [2] R. Sunar and İ. Günaltılı, “On The Basic Properties of Linear Graphs - I”, Konuralp J. Math., vol. 9, no. 1, pp. 154-158, 2021.
  3. [3] İ. Günaltılı, A. Ulukan, and Ş . Olgun, “Some Properties Of Fınıte f0,1g-Graphs” , Konuralp Journal Of Mathematics,1(1), pp. 34-39, 2013.
  4. [4] F. Harary, D. Hsu and Z. Miller, “The biparticity of a graph”, J. Graph Theory 1, pp. 131-133, 1977..
  5. [5] M. Mulder, “(0, l)-graph and n-cubes”, Discrete mathematics vol. 28, pp. 179-188 1979.
  6. [6] D.B. West, “Introduction to Graph Theory”, Prentice-Hall, Englewood Clins, NJ, 1996.
  7. [7] C. Vasudev, Combinatorics and Graph Theory, New Age Publications(Academic), India, 2007.
  8. [8] L.M. Batten, Combinatorics of finite geometries ,Cambridge University Press, Cambridge-NewYork, 1986.

Details

Primary Language

English

Subjects

Experimental Mathematics, Applied Mathematics (Other)

Journal Section

Research Article

Publication Date

December 30, 2025

Submission Date

August 8, 2025

Acceptance Date

September 8, 2025

Published in Issue

Year 2025 Number: 014

APA
Ertaş, A. G. (2025). On The Fundamental Properties of Circular Graphs. Journal of Scientific Reports-B, 014, 1-6. https://izlik.org/JA95HB43UZ
AMA
1.Ertaş AG. On The Fundamental Properties of Circular Graphs. Journal of Scientific Reports-B. 2025;(014):1-6. https://izlik.org/JA95HB43UZ
Chicago
Ertaş, Ali Gökhan. 2025. “On The Fundamental Properties of Circular Graphs”. Journal of Scientific Reports-B, nos. 014: 1-6. https://izlik.org/JA95HB43UZ.
EndNote
Ertaş AG (December 1, 2025) On The Fundamental Properties of Circular Graphs. Journal of Scientific Reports-B 014 1–6.
IEEE
[1]A. G. Ertaş, “On The Fundamental Properties of Circular Graphs”, Journal of Scientific Reports-B, no. 014, pp. 1–6, Dec. 2025, [Online]. Available: https://izlik.org/JA95HB43UZ
ISNAD
Ertaş, Ali Gökhan. “On The Fundamental Properties of Circular Graphs”. Journal of Scientific Reports-B. 014 (December 1, 2025): 1-6. https://izlik.org/JA95HB43UZ.
JAMA
1.Ertaş AG. On The Fundamental Properties of Circular Graphs. Journal of Scientific Reports-B. 2025;:1–6.
MLA
Ertaş, Ali Gökhan. “On The Fundamental Properties of Circular Graphs”. Journal of Scientific Reports-B, no. 014, Dec. 2025, pp. 1-6, https://izlik.org/JA95HB43UZ.
Vancouver
1.Ali Gökhan Ertaş. On The Fundamental Properties of Circular Graphs. Journal of Scientific Reports-B [Internet]. 2025 Dec. 1;(014):1-6. Available from: https://izlik.org/JA95HB43UZ