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» Degrees and choice numbers
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JCT
2007
93views more  JCT 2007»
15 years 6 months ago
The circular chromatic index of graphs of high girth
We show that for each ε > 0 and each integer ∆ ≥ 1, there exists a number g such that for any graph G of maximum degree ∆ and girth at least g, the circular chromatic in...
Tomás Kaiser, Daniel Král, Riste Skr...
COMBINATORICS
1999
73views more  COMBINATORICS 1999»
15 years 5 months ago
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...
Mao-cheng Cai, Yanjun Li, Mikio Kano
INFOCOM
2008
IEEE
16 years 17 days ago
The Power of One Move: Hashing Schemes for Hardware
—In a standard multiple choice hashing scheme, each item is stored in one of d ≥ 2 hash table buckets. The availability of choice in where items are stored improves space utili...
Adam Kirsch, Michael Mitzenmacher
COCOON
2005
Springer
15 years 11 months ago
On the Complexity of the Balanced Vertex Ordering Problem
We consider the problem of finding a balanced ordering of the vertices of a graph. More precisely, we want to minimise the sum, taken over all vertices v, of the difference betwe...
Jan Kára, Jan Kratochvíl, David R. W...
ECCC
2008
122views more  ECCC 2008»
15 years 6 months ago
Every Minor-Closed Property of Sparse Graphs is Testable
Testing a property P of graphs in the bounded degree model is the following computational problem: given a graph G of bounded degree d we should distinguish (with probability 0.9,...
Itai Benjamini, Oded Schramm, Asaf Shapira