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» Kernel Bounds for Disjoint Cycles and Disjoint Paths
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ICALP
2007
Springer
16 years 4 days 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
16 years 22 days 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»
15 years 23 days 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
16 years 8 days 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»
15 years 6 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