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COMBINATORICS
1999
93views more  COMBINATORICS 1999»
13 years 7 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
FCS
2006
13 years 9 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
GD
2006
Springer
13 years 11 months ago
Partitions of Graphs into Trees
In this paper, we study the k-tree partition problem which is a partition of the set of edges of a graph into k edge-disjoint trees. This problem occurs at several places with appl...
Therese C. Biedl, Franz-Josef Brandenburg
ENDM
2007
104views more  ENDM 2007»
13 years 7 months ago
Matching graphs of Hypercubes and Complete Bipartite Graphs
Kreweras’ conjecture [9] asserts that every perfect matching of the hypercube Qd can be extended to a Hamiltonian cycle of Qd. We [5] proved this conjecture but here we present ...
Jirí Fink
MST
2006
99views more  MST 2006»
13 years 7 months ago
Complexity of the Exact Domatic Number Problem and of the Exact Conveyor Flow Shop Problem
We prove that the exact versions of the domatic number problem are complete for the levels of the boolean hierarchy over NP. The domatic number problem, which arises in the area of...
Tobias Riege, Jörg Rothe