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» Z3-Connectivity with Independent Number 2
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GD
2009
Springer
14 years 1 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...
RSA
2000
95views more  RSA 2000»
13 years 8 months 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
COMBINATORICA
2010
13 years 6 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»
13 years 8 months 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
DAM
2011
13 years 3 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