๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the distance between distinct group Latin squares

โœ Scribed by Diane Donovan; Sheila Oates-Williams; Cheryl E. Praeger


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
182 KB
Volume
5
Category
Article
ISSN
1063-8539

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Signs on Group Latin Squares
โœ Alberto Marini; Giuseppe Pirillo ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 124 KB

A simple expression for triples of signs of group Latin squares is given; in particular we prove that it depends only on the order.

The Effect of Categorization on Balanced
โœ J. C. W. Rayner; G. F. Liddell; A. J. Seyb ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 670 KB

Robustness in the various analysis of variance models should be assessed with regard to all the assumptions. Here we assess the etTect of the continuity assumption. The models considered were chosen because they are in a sense fragile, and the elTects might be anticipated to be more dramatic here. W

On the Number of Even and Odd Latin Squa
โœ Arthur A Drisko ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 358 KB

It is shown that given an odd prime p, the number of even latin squares of order p+1 is not equal to the number of odd latin squares of order p+1. This result is a special case of a conjecture of Alon and Tarsi and has implications for various other combinatorial problems, including conjectures of R

On the spectrum of critical sets in lati
โœ Diane Donovan; James LeFevre; G. H. John van Rees ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 197 KB ๐Ÿ‘ 1 views

## Abstract Suppose that __L__ is a latin square of order __m__ and __P__โ€‰โŠ‘โ€‰__L__ is a partial latin square. If __L__ is the only latin square of order __m__ which contains __P__, and no proper subset of __P__ has this property, then __P__ is a __critical set__ of __L__. The critical set spectrum p

On the Nearest Neighbour Interchange Dis
โœ Ming Li; John Tromp; Louxin Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 248 KB

We present some new results on a well-known distance measure between evolutionary trees. The trees we consider are free 3-trees having n leaves labeled 0, . . . , n -1 (representing species), and n -2 internal nodes of degree 3. The distance between two trees is the minimum number of nearest neighbo

On the maximum number of different order
โœ Jeffrey H. Dinitz; Douglas R. Stinson ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 140 KB ๐Ÿ‘ 1 views

## Abstract In this paper, we study the problem of constructing sets of __s__ latin squares of order __m__ such that the average number of different ordered pairs obtained by superimposing two of the __s__ squares in the set is as large as possible. We solve this problem (for all __s__) when __m__