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 books.google.com SeokHee Hong, Takao Nishizeki, Wu Quan  2008  Preview We prove that for k =2thereexists asetS of n + n c points and a 2colored planar
graph G such that any 2colored point set embedding of G on S has an edge
requiring at least Ω(n) bends. • Finally, we show that every kcolored planar
graph ... 

 books.google.com Michael Kaufmann, Dorothea Wagner  2007  Preview 5. Outerplanar. kColored. Graphs. In contrast with the result of Theorem 3, we
prove that given any outerplanar kcolored graph G (for any constant k>2), there
exist infinite kcolored sets compatible with G for which a pointset ... 

 books.google.com Hans L. Bodlaender, Michael A. Langston  2006  Preview In the following discussion, we will assume a kcolor coding scheme F of size O(
6.4kn) for a set of n elements. On a given instance (G,k) of the weighted kpath
problem, where G is a graph of n vertices, the structure algorithm for weighted ... 

 books.google.com with a kcolored graph G if, for every 0 ≤ i ≤ k − 1, color i occurs Vi times in σ.
Let S be a kcolored set of points and let p0,p1 ,...,p n−1 be the points of S
ordered according to their xcoordinates. We say that S induces the kcolored
sequence ... 

 books.google.com Md. Saidur Rahman, Satoshi Fujita  2010  Preview Some of the literature about red and blue point sets can also be revisited within
the general framework of kcolored ... [3] Let G be a kcolored planar graph with n
vertices and let S be any kcolored set of points compatible with G. There exists ... 

 books.google.com have R < Bk, where Bk is the kth Bell number. Thus, a colorful kedge even
subgraph, if it exists, in a kcolored graph can be found in O(Bkk2kmn) time.
Similar to the proof of Theorem 2, we can design a deterministic algorithm to find
a kedge ... 

 books.google.com Abstract: "The problem to determine whether a given kcolored graph is a subgraph of a properly colored interval graph has an application in DNA physical mapping. 

 books.google.com Alberto MarchettiSpaccamela, Michael Segal  2011  Preview In this paper, we gave dynamic programming algorithms for the Intervalizing k
Colored Graphs problem. Our algorithm for the case that the number of colors k is
fixed uses subexponential time of a somewhat unusual form, and thus, the result
... 

 books.google.com For example, if a graph G is a connected graph whose maximum degree is k with
k ≥ 3 and G is not Kk+1 (that is, the clique of k + 1 nodes), then G can be colored
in polynomial time with k colors [18]1. The main reason to study these colored ... 

 books.google.com An ¥kcoloring of a graph G is a mapping 7c : Vq — > Ffc with no constraint on
the values of 7 for adjacent vertices. An ¥k colored graph G is a tuple (Vg , Eg , Ig
, 7g) where (Vg,Eg,£g) is a graph and 70 is an Ffccoloring of (Vg,Eg,£g) Notice
... 

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