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CORR
2008
Springer
169views Education» more  CORR 2008»
13 years 10 months ago
Tight Approximation Ratio of a General Greedy Splitting Algorithm for the Minimum k-Way Cut Problem
For an edge-weighted connected undirected graph, the minimum k-way cut problem is to find a subset of edges of minimum total weight whose removal separates the graph into k connect...
Mingyu Xiao, Leizhen Cai, Andrew C. Yao
JGT
2010
127views more  JGT 2010»
13 years 8 months ago
On the minimum degree of minimal Ramsey graphs
We investigate the minimization problem of the minimum degree of minimal Ramsey graphs, initiated by Burr, Erd˝os, and Lov´asz. We determine the corresponding graph parameter fo...
Tibor Szabó, Philipp Zumstein, Stefanie Z&u...
DM
2006
77views more  DM 2006»
13 years 10 months ago
Strong edge-coloring of graphs with maximum degree 4 using 22 colors
In 1985, Erdos and Ne
Daniel W. Cranston
ESCAPE
2007
Springer
256views Algorithms» more  ESCAPE 2007»
14 years 2 months ago
A More Effective Linear Kernelization for Cluster Editing
In the NP-hard Cluster Editing problem, we have as input an undirected graph G and an integer k 0. The question is whether we can transform G, by inserting and deleting at most k ...
Jiong Guo
CIAC
2010
Springer
258views Algorithms» more  CIAC 2010»
14 years 7 months ago
A Planar Linear Arboricity Conjecture
The linear arboricity la(G) of a graph G is the minimum number of linear forests that partition the edges of G. In 1984, Akiyama et al. [1] stated the Linear Arboricity Conjecture...
Marek Cygan, Lukasz Kowalik, Borut Luzar