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Edge-intersection graphs of grid paths: the bend-number
Edge-intersection graphs of grid paths bend-number
2010/12/6
We investigate edge-intersection graphs of paths in the plane grid re-garding a parameter called the bend-number. The bend-number is related to the interval-number and the track-number of a graph.
Betti numbers of edge ideals of uniform hypergraphs
Betti number hypergraph Hilbert function Stanley-Reisner ring
2010/11/29
We describe the Betti numbers of the edge ideals I(G) of uniform hypergraphs G such that I(G) has linear graded free resolution.
Edge Growth in Graph Cubes
Edge Growth Graph Cubes
2010/11/29
We show that for every connected graph G of diameter 3, the graph G3 has average degree 7
4(G). We also provide an example showing that this bound is best possible. This resolves a question of H...
Edge Coloring of Triangle-Free 1-Planar Graphs.