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JDA
2007
83views more  JDA 2007»
13 years 9 months ago
Optimal leaf ordering of complete binary trees
Ordering a set of items so as to minimize the sum of distances between consecutive elements is a fundamental optimization problem occurring in many settings. While it is NP-hard i...
Ulrik Brandes
JGAA
2007
142views more  JGAA 2007»
13 years 9 months ago
Approximation Algorithms for the Maximum Induced Planar and Outerplanar Subgraph Problems
The task of finding the largest subset of vertices of a graph that induces a planar subgraph is known as the Maximum Induced Planar Subgraph problem (MIPS). In this paper, some n...
Kerri Morgan, Graham Farr
JNW
2007
104views more  JNW 2007»
13 years 9 months ago
A Distributed Graph Algorithm for Geometric Routing in Ad Hoc Wireless Networks
— This paper presented a fully distributed algorithm to compute a planar subgraph of the underlying wireless connectivity graph. This work considered the idealized unit disk grap...
Rashid Bin Muhammad
ALGORITHMICA
2002
101views more  ALGORITHMICA 2002»
13 years 9 months ago
Improved Algorithms for Constructing Fault-Tolerant Spanners
Let S be a set of n points in a metric space, and k a positive integer. Algorithms are given that construct k-fault-tolerant spanners for S. If in such a spanner at most k vertice...
Christos Levcopoulos, Giri Narasimhan, Michiel H. ...
DM
2002
86views more  DM 2002»
13 years 9 months ago
A chip-firing game and Dirichlet eigenvalues
We consider a variation of the chip-firing game in a induced subgraph S of a graph G. Starting from a given chip configuration, if a vertex v has at least as many chips as its deg...
Fan R. K. Chung, Robert B. Ellis