On ($$1,C_4$$) One-Factorization and Two Orthogonal ($$2,C_4$$) One-Factorizations of Complete Graphs

Author:

Vázquez-Ávila Adrián

Publisher

Springer Science and Business Media LLC

Subject

Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference10 articles.

1. Alfaro, C.A., Rubio-Montiel, C., Vázquez-Ávila, A.: On two-quotient strong starters for $${\mathbb{F}}_q$$. Util. Math. 112, 287–302 (2019)

2. Anderson, B.A.: A class of starter induced $$1$$-factorizations. In: Graphs and Combinatorics (Proc. Capital Conf., George Washington Univ., Washington, D.C., 1973), Lecture Notes in Math., vol. 406, pp. 180–185. Springer, Berlin (1974)

3. Bao, J., Ji, L.: Two orthogonal 4-cycle-free one-factorizations of complete graphs. Graphs Comb. 35(2), 373–392 (2019)

4. Colbourn, C.J., Dinitz, J.H.: Handbook of Combinatorial Designs, Discrete mathematics and its applications, 2nd edn. Chapman & Hall/Taylor & Francis (2007)

5. Hardy, G.H., Wright, E.M.: An introduction to the theory of numbers, 6th ed. Oxford University Press, Oxford (2008) Revised by D. R. Heath-Brown and J. H. Silverman, With a foreword by Andrew Wiles

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1. Cycles of quadratic Latin squares and antiperfect 1‐factorisations;Journal of Combinatorial Designs;2023-07-10

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