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79
Voted
EJC
2010
15 years 15 days 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
63
Voted
EJC
2010
15 years 15 days 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
100
Voted
EJC
2010
15 years 15 days 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
15 years 15 days 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...
EJC
2010
15 years 15 days ago
On the infinitesimal rigidity of weakly convex polyhedra
The main motivation here is a question: whether any polyhedron which can be subdivided into convex pieces without adding a vertex, and which has the same vertices as a convex poly...
Robert Connelly, Jean-Marc Schlenker
71
Voted
EJC
2010
15 years 15 days ago
Some problems, I care most
Michel Deza
68
Voted
EJC
2010
15 years 15 days ago
Homomorphisms of random paths
Gábor Kun, Claude Tardif
EJC
2010
15 years 15 days ago
Dualities in full homomorphisms
Abstract. In this paper we study dualities of graphs and, more generally, relational structures with respect to full homomorphisms, that is, mappings that are both edge- and non-ed...
Richard N. Ball, Jaroslav Nesetril, Ales Pultr