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FCS
2006
15 years 4 months ago
Sub-Graphs of Complete Graph
: In the complete graph K2m+3 for m 2, we study some structures of simple non-isomorphic Hamiltonian sub-graphs of the form H ( 2m+3 , 6m+3) for m 2 . The various structures of t...
Bichitra Kalita
108
Voted
COMBINATORICS
1999
93views more  COMBINATORICS 1999»
15 years 3 months ago
Induced Complete h-partite Graphs in Dense Clique-less Graphs
It is proven that for every fixed h, a and b, a graph with n vertices and minimum degree at least h-1 h n, which contains no copy of Kb (the complete graph with b vertices), conta...
Eldar Fischer
224
Voted
GC
2011
Springer
14 years 10 months ago
Ramsey Numbers of Some Bipartite Graphs Versus Complete Graphs
The Ramsey number r(H, Kn) is the smallest positive integer N such that every graph of order N contains either a copy of H or an independent set of size n. The Tur´an number ex(m,...
Tao Jiang, Michael Salerno
COMBINATORICS
2002
93views more  COMBINATORICS 2002»
15 years 3 months ago
On a Theorem of Erdos, Rubin, and Taylor on Choosability of Complete Bipartite Graphs
Erdos, Rubin, and Taylor found a nice correspondence between the minimum order of a complete bipartite graph that is not r-choosable and the minimum number of edges in an r-unifor...
Alexandr V. Kostochka
131
Voted
IPL
2010
79views more  IPL 2010»
15 years 2 months ago
Unrestricted and complete Breadth-First Search of trapezoid graphs in O(n) time
We present an O(n) Breadth-First Search algorithm for trapezoid graphs, which takes as input a trapezoid model and any priority order on the vertices. Our algorithm is the first ...
Christophe Crespelle, Philippe Gambette