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COMBINATORICS
2007
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13 years 6 months ago
The Borodin-Kostochka Conjecture for Graphs Containing a Doubly Critical Edge
We prove that if G is a graph containing a doubly-critical edge and satisfying χ ≥ ∆ ≥ 6, then G contains a K∆.
Landon Rabern
EJC
2007
13 years 6 months ago
Perfect packings with complete graphs minus an edge
Let K− r denote the graph obtained from Kr by deleting one edge. We show that for every integer r ≥ 4 there exists an integer n0 = n0(r) such that every graph G whose order n â...
Oliver Cooley, Daniela Kühn, Deryk Osthus