The number of factorizations of an n-cycle into n -1 transpositions is determined under the assumption that factorizations are counted as different if and only if they cannot be commuted into one another.
A transposition factorization of walk-permutations in graphs
β Scribed by Amitai Regev
- Book ID
- 107885153
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 250 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
If the symmetric group is generated by transpositions corresponding to the edges of a spanning tree we discuss identities they satisfy, including a set of defining relations. We further show that a minimal length factorization of a permutation fixing a terminal vertex does not involve the unique edg
## Abstract A 1βfactorization is constructed for the line graph of the complete graph __K~n~__ when __n__ is congruent to 0 or 1 modulo 4.
The aim of this note is to call attention to a simple regularity regarding the number of walks in a finite graph G. Let wk denote the number of walks of length k(> 0) in G. Then Wi+,, 5 W&Wzb holds for all a, b E NJ while equality holds exclusively either (I) for all a, b E No (in case G is a regula