Page 1 Next

Displaying 1 – 20 of 34

Showing per page

Ranks of permutative matrices

Xiaonan Hu, Charles R. Johnson, Caroline E. Davis, Yimeng Zhang (2016)

Special Matrices

A new type of matrix, termed permutative, is defined and motivated herein. The focus is upon identifying circumstances under which square permutative matrices are rank deficient. Two distinct ways, along with variants upon them are given. These are a special kind of grouping of rows and a type of partition in which the blocks are again permutative. Other, results are given, along with some questions and conjectures.

Recouvrements d'un rectangle de largeur 3 à l'aide de triminos

G. Kreweras (1995)

Mathématiques et Sciences Humaines

On établit une récurrence du 6-ième ordre pour le nombre de recouvrements d'un rectangle de largeur 3 et de longueur n à l'aide de «triminos». Des problèmes analogues peuvent se poser à propos de découpages électoraux.

Recursive Methods for Construction of Balanced N-ary Block Designs

Gheribi-Aoulmi, Z., Bousseboua, M. (2005)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: Primary 05B05; secondary 62K10.This paper presents a recursive method for the construction of balanced n-ary block designs. This method is based on the analogy between a balanced incomplete binary block design (B.I .E .B) and the set of all distinct linear sub-varieties of the same dimension extracted from a finite projective geometry. If V1 is the first B.I .E .B resulting from this projective geometry, then by regarding any block of V1 as a projective geometry,...

Regulated buildups of 3-configurations

Václav J. Havel (1994)

Archivum Mathematicum

We deal with two types of buildups of 3-configurations: a generating buildup over a given edge set and a regulated one (according to maximal relative degrees of vertices over a penetrable set of vertices). Then we take account to minimal generating edge sets, i.e., to edge bases. We also deduce the fundamental relation between the numbers of all vertices, of all edges from edge basis and of all terminal elements. The topic is parallel to a certain part of Belousov' “Configurations in algebraic...

Currently displaying 1 – 20 of 34

Page 1 Next