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EJC
2006
14 years 9 months ago
The topology of the independence complex
We introduce a large self-dual class of simplicial complexes for which we show that each member complex is contractible or homotopy equivalent to a sphere. Examples of complexes i...
Richard Ehrenborg, Gábor Hetyei
EJC
2006
14 years 9 months ago
Two oiseau decompositions of permutations and their application to Eulerian calculus
: Two transformations are constructed that map the permutation group onto a well-defined subset of a partially commutative monoid generated by the so-called oiseaux. Those transfor...
Dominique Foata, Arthur Randrianarivony
EJC
2006
14 years 9 months ago
On the canonical metric representation, average distance, and partial Hamming graphs
Average distance of a graph is expressed in terms of its canonical metric representation. The equality can be modified to an inequality in such a way that it characterizes isometr...
Sandi Klavzar
EJC
2006
14 years 9 months ago
Hadamard ideals and Hadamard matrices with two circulant cores
We apply Computational Algebra methods to the construction of Hadamard matrices with two circulant cores, given by Fletcher, Gysin and Seberry. We introduce the concept of Hadamar...
Ilias S. Kotsireas, Christos Koukouvinos, Jennifer...
EJC
2006
14 years 9 months ago
Invariant subspaces, duality, and covers of the Petersen graph
A general method for finding elementary abelian regular covering projections of finite connected graphs is applied to the Petersen graph. As a result, a complete list of pairwise ...
Aleksander Malnic, Primoz Potocnik