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ARSCOM
2008
103views more  ARSCOM 2008»
15 years 6 months ago
Estimating the number of graphs containing very long induced paths
Let P(n, k) denote the number of graphs on n + k vertices that contain Pn, a path on n vertices, as an induced subgraph. In this note we will find upper and lower bounds for P(n, ...
Steven Butler
APPROX
2008
Springer
142views Algorithms» more  APPROX 2008»
15 years 8 months ago
Approximating Maximum Subgraphs without Short Cycles
We study approximation algorithms, integrality gaps, and hardness of approximation, of two problems related to cycles of "small" length k in a given graph. The instance f...
Guy Kortsarz, Michael Langberg, Zeev Nutov
ENDM
2002
86views more  ENDM 2002»
15 years 6 months ago
Light Paths in Large Polyhedral Maps with Prescribed Minimum Degree
Let k be an integer and M be a closed 2-manifold with Euler characteristic (M) 0. We prove that each polyhedral map G on M with minimum degree and large number of vertices conta...
Stanislav Jendrol, Heinz-Jürgen Voss
ESCAPE
2007
Springer
256views Algorithms» more  ESCAPE 2007»
15 years 10 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
DM
2008
94views more  DM 2008»
15 years 6 months ago
On low degree k-ordered graphs
A simple graph G is k-ordered (respectively, k-ordered hamiltonian) if, for any sequence of k distinct vertices v1, . . . , vk of G, there exists a cycle (respectively, a hamilton...
Karola Mészáros