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COMBINATORICS
1999
13 years 10 months ago
1999
![A [k, k+1]-Factor Containing A Given Hamiltonian Cycle](https://www.sciweavers.org/files/imagecache/thumbnail/imagecache/a_k_k_1_factor_containing_a_given_hamiltonian_cycle_COMBINATORICS_1999.jpg "A [k, k+1]-Factor Containing A Given Hamiltonian Cycle")
We prove the following best possible result. Let k 2 be an integer and G be a graph of order n with minimum degree at least k. Assume n 8k - 16 for even n and n 6k-13 for odd n...
WG
2005
Springer
14 years 3 months ago
2005
Springer
Abstract. In this paper we study the existence of a small set T of spanning trees that collectively “1-span” an interval graph G. In particular, for any pair of vertices u, v w...
DAM
2008
13 years 10 months ago
2008
A clique-transversal of a graph G is a subset of vertices that meets all the cliques of G. A clique-independent set is a collection of pairwise vertex-disjoint cliques. The clique...
ENDM
2008
13 years 10 months ago
2008
In this paper we study some connectivity augmentation problems. Given a connected graph G with some desirable property, we want to make G 2-vertex connected (or 2-edge connected) ...
JCT
2008
13 years 10 months ago
2008
A 4-graph is odd if its vertex set can be partitioned into two sets so that every edge intersects both parts in an odd number of points. Let b(n) = max n 3 + (n - ) 3 = 1 2 + o...