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EJC
2007
13 years 9 months ago
The homology of the cycle matroid of a coned graph
The cone ˆG of a finite graph G is obtained by adding a new vertex p, called the cone point, and joining each vertex of G to p by a simple edge. We show that the rank of the red...
Woong Kook
EJC
2007
13 years 9 months ago
On the sign-imbalance of skew partition shapes
Let the sign of a skew standard Young tableau be the sign of the permutation you get by reading it row by row from left to right, like a book. We examine how the sign property is ...
Jonas Sjöstrand
EJC
2007
13 years 9 months ago
Nonsingular mixed graphs with few eigenvalues greater than two
Let G be a nonsingular connected mixed graph. We determine the mixed graphs G on at least seven vertices with exactly two Laplacian eigenvalues greater than 2. In addition, all mi...
Yi-Zheng Fan, Shi-Cai Gong, Jun Zhou, Ying-Ying Ta...
EJC
2006
13 years 9 months ago
Perfect matchings in uniform hypergraphs with large minimum degree
A perfect matching in a k-uniform hypergraph on n vertices, n divisible by k, is a set of n/k disjoint edges. In this paper we give a sufficient condition for the existence of a p...
Vojtech Rödl, Andrzej Rucinski, Endre Szemer&...
EJC
2006
13 years 9 months ago
Poset edge-labellings and left modularity
It is known that a graded lattice of rank n is supersolvable if and only if it has an EL-labelling where the labels along any maximal chain are exactly the numbers 1, 2, . . . , n ...
Peter McNamara, Hugh Thomas