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EJC
2010
13 years 4 months ago
Problem section
V. Alexandrov, H. Maehara, A. D. Milka, I. Kh. Sab...
EJC
2010
13 years 4 months ago
A short proof of a theorem of Bang and Koolen
Let a graph be locally disjoint union of three copies of complete graphs Kq-1 and let be cospectral with the Hamming graph H(3, q). Bang and Koolen [Asian-Eur. J. Math. 1 (2008),...
A. Mohammadian, Behruz Tayfeh-Rezaie
EJC
2010
13 years 4 months ago
Packing sets of patterns
Packing density is a permutation occurrence statistic which describes the maximal number of permutations of a given type that can occur in another permutation. In this article we ...
Alexander Burstein, Peter Hästö
EJC
2010
13 years 4 months ago
On graphs isomorphic to their neighbour and non-neighbour sets
The paper contains a construction of a universal countable graph, different from the Rado graph, such that for any of its vertices both the neighbourhood and the non-neighbourhood ...
Przemyslaw Gordinowicz
EJC
2010
13 years 4 months ago
Counting paths in digraphs
Say a digraph is k-free if it has no directed cycles of length at most k, for k Z+ . Thomass
Paul D. Seymour, Blair Sullivan
EJC
2010
13 years 4 months ago
The edge-flipping group of a graph
Let X = (V, E) be a finite simple connected graph with n vertices and m edges. A configuration is an assignment of one of two colors, black or white, to each edge of X. A move app...
Hau-wen Huang, Chih-wen Weng
EJC
2010
13 years 4 months ago
Bandwidth, expansion, treewidth, separators and universality for bounded-degree graphs
We establish relations between the bandwidth and the treewidth of bounded degree graphs G, and relate these parameters to the size of a separator of G as well as the size of an exp...
Julia Böttcher, Klaas P. Pruessmann, Anusch T...