𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Maximal Independent Generating Sets of the Symmetric Group

✍ Scribed by Julius Whiston


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
105 KB
Volume
232
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The number of maximal independent sets i
✍ ZoltΓ‘n FΓΌredi πŸ“‚ Article πŸ“… 1987 πŸ› John Wiley and Sons 🌐 English βš– 286 KB πŸ‘ 2 views

Generalizing a theorem of Moon and Moser. we determine the maximum number of maximal independent sets in a connected graph on n vertices for n sufficiently large, e.g., n > 50. = I .32. . .). Example 1.2. Let b, = i(C,), where C,z denotes the circuit of length n. Then b, = 3, 6, = 2, b, = 5, and b,

Maximal Subgroups of Symmetric Groups
✍ Martin W. Liebeck; Aner Shalev πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 348 KB

We show that S n has at most n 6Γ‚11+o(1) conjugacy classes of primitive maximal subgroups. This improves an n c log 3 n bound given by Babai. We conclude that the number of conjugacy classes of maximal subgroups of S n is of the form ( 12 +o(1))n. It also follows that, for large n, S n has less than

Constraints on the number of maximal ind
✍ Jiuqiang Liu πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 387 KB πŸ‘ 2 views

## Abstract A maximal independent set of a graph __G__ is an independent set that is not contained properly in any other independent set of __G__. Let __i(G)__ denote the number of maximal independent sets of __G__. Here, we prove two conjectures, suggested by P. ErdΓΆs, that the maximum number of m