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» Kernel Bounds for Disjoint Cycles and Disjoint Paths
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ICALP
2007
Springer
14 years 1 months ago
Labeling Schemes for Vertex Connectivity
This paper studies labeling schemes for the vertex connectivity function on general graphs. We consider the problem of labeling the nodes of any n-node graph is such a way that gi...
Amos Korman
FOCS
2009
IEEE
14 years 2 months ago
Distance Oracles for Sparse Graphs
Abstract— Thorup and Zwick, in their seminal work, introduced the approximate distance oracle, which is a data structure that answers distance queries in a graph. For any integer...
Christian Sommer 0002, Elad Verbin, Wei Yu
MST
2010
86views more  MST 2010»
13 years 2 months ago
Fixed-Parameter Enumerability of Cluster Editing and Related Problems
Cluster Editing is transforming a graph by at most k edge insertions or deletions into a disjoint union of cliques. This problem is fixed-parameter tractable (FPT). Here we comput...
Peter Damaschke
IPPS
2007
IEEE
14 years 1 months ago
A Combinatorial Analysis of Distance Reliability in Star Network
This paper addresses a constrained two-terminal reliability measure referred to as Distance Reliability (DR) between the source node u and the destination node I with the shortest...
Xiaolong Wu, Shahram Latifi, Yingtao Jiang
DM
2008
97views more  DM 2008»
13 years 7 months ago
On extremal k-outconnected graphs
Let G be a minimally k-connected graph with n nodes and m edges. Mader proved that if n 3k - 2 then m k(n - k), and for n 3k - 1 an equality is possible if, and only if, G is t...
Zeev Nutov