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» Z3-Connectivity with Independent Number 2
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81
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GD
2009
Springer
15 years 5 months ago
Removing Independently Even Crossings
We show that cr(G) ≤ 2 iocr(G) 2 settling an open problem of Pach and T´oth [4, 1]. Moreover, iocr(G) = cr(G) if iocr(G) ≤ 2. 1 Crossing Numbers Pach and T´oth point out in ...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
115
Voted
RSA
2000
95views more  RSA 2000»
15 years 25 days ago
Distribution of the number of consecutive records
A succinct series expression is derived for describing the limit distribution of the number of times r consecutive elements are all records (in a sequence of independent and ident...
Hua-Huai Chern, Hsien-Kuei Hwang, Yeong-Nan Yeh
96
Voted
COMBINATORICA
2010
14 years 10 months ago
Hypergraphs with independent neighborhoods
For each k 2, let k (0, 1) be the largest number such that there exist k-uniform hypergraphs on n vertices with independent neighborhoods and (k + o(1)) n k edges as n . We pro...
Tom Bohman, Alan M. Frieze, Dhruv Mubayi, Oleg Pik...
DAM
1999
105views more  DAM 1999»
15 years 22 days ago
The b-chromatic Number of a Graph
The achromatic number (G) of a graph G = (V, E) is the maximum k such that V has a partition V1, V2, . . . , Vk into independent sets, the union of no pair of which is independent...
Robert W. Irving, David Manlove
120
Voted
DAM
2011
14 years 8 months ago
Independence in connected graphs
We prove that if G = (VG, EG) is a finite, simple, and undirected graph with κ components and independence number α(G), then there exist a positive integer k ∈ N and a functi...
Jochen Harant, Dieter Rautenbach