✦ LIBER ✦

A perfect one-factorization of K52

✍ Scribed by Adam J. Wolfe

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 84 KB
Volume: 17
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.20194

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

A starter derived even starter that induces a perfect one‐factorization of K~52~ is presented. This is the smallest order for which a perfect one‐factorization was not previously known and is the first new “small” order for which a perfect one‐factorization has been found in nearly 20 years. © 2008 Wiley Periodicals, Inc. J Combin Designs 17: 190–196, 2009

📜 SIMILAR VOLUMES

A perfect one-factorization for K36

✍ E. Seah; D.R. Stinson 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 435 KB

A perfect one-factorization ofK36

✍ Midori Kobayashi; Hitoshi Awoki; Yoshimi Nakazaki; Gisaku Nakamura 📂 Article 📅 1989 🏛 Springer Japan 🌐 English ⚖ 80 KB

On the perfect one—factorization conject

On the perfect one—factorization conjecture

✍ David G. Wagner 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 326 KB

On perfect one-factorization of the comp

On perfect one-factorization of the complete graphK2p

✍ Midori Kobayashi 📂 Article 📅 1989 🏛 Springer Japan 🌐 English ⚖ 132 KB

Perfect one-factorizations of K1332 and

Perfect one-factorizations of K1332 and K6860

✍ Midori Kobayashi; Kiyasu-Zen'iti 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 87 KB

There are 23 nonisomorphic perfect one-f

There are 23 nonisomorphic perfect one-factorizations of K14

✍ Jeffrey H. Dinitz; David K. Garnick 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 181 KB

Using an orderly algorithm we established that there are exactly 23 nonisomorphic perfect one-factorizations of K14. Seah and Stinson (Ann. Discrete Math. 34 (1987), 419-436) had previously found 21 perfect one-factorizations of K I A with nontrivial automorphism group.