Title
Diagonal forms of incidence matrices associated with t-uniform hypergraphs
Abstract
We consider integer matrices N"t(h) whose rows are indexed by the t-subsets of an n-set and whose columns are all images of a particular column h under the symmetric group S"n. Earlier work has determined a diagonal form for N"t(h) when h has at least t 'isolated vertices' and the results were applied to the binary case of a zero-sum Ramsey-type problem of Alon and Caro involving t-uniform hypergraphs. This paper deals with the case that h does not have as many as t isolated vertices.
Year
DOI
Venue
2014
10.1016/j.ejc.2013.06.032
Eur. J. Comb.
Keywords
Field
DocType
integer matrices n,isolated vertex,diagonal form,t-uniform hypergraphs,earlier work,particular column h,paper deal,zero-sum ramsey-type problem,binary case,symmetric group
Diagonal,Row,Integer,Discrete mathematics,Combinatorics,Diagonal form,Vertex (geometry),Symmetric group,Matrix (mathematics),Constraint graph,Mathematics
Journal
Volume
ISSN
Citations 
35,
0195-6698
1
PageRank 
References 
Authors
0.43
6
2
Name
Order
Citations
PageRank
Richard M. Wilson1697340.86
Tony W. H. Wong2234.16