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ISAAC
1995
Springer
97views Algorithms» more  ISAAC 1995»
13 years 11 months ago
A Linear Time Algorithm For Finding Maximal Planar Subgraphs
Given an undirected graph G, the maximal planar subgraph problem is to determine a planar subgraph H of G such that no edge of G-H can be added to H without destroying planarity. P...
Wen-Lian Hsu
CORR
2008
Springer
98views Education» more  CORR 2008»
13 years 7 months ago
Void Traversal for Guaranteed Delivery in Geometric Routing
Geometric routing algorithms like GFG (GPSR) are lightweight, scalable algorithms that can be used to route in resource-constrained ad hoc wireless networks. However, such algorith...
Mikhail Nesterenko, Adnan Vora
COMBINATORICA
2008
84views more  COMBINATORICA 2008»
13 years 7 months ago
Parity check matrices and product representations of squares
Let NF(n, k, r) denote the maximum number of columns in an n-row matrix with entries in a finite field F in which each column has at most r nonzero entries and every k columns are...
Assaf Naor, Jacques Verstraëte
TAMC
2009
Springer
14 years 2 months ago
Linear Kernel for Planar Connected Dominating Set
We provide polynomial time data reduction rules for Connected Dominating Set in planar graphs and analyze these to obtain a linear kernel for the planar Connected Dominating Set pr...
Daniel Lokshtanov, Matthias Mnich, Saket Saurabh
AAIM
2010
Springer
144views Algorithms» more  AAIM 2010»
14 years 2 days ago
Kernelization for Cycle Transversal Problems
Abstract. We present new kernelization results for the s-cycle transversal problem for s > 3. In particular, we show a 6k2 kernel for 4-cycle transversal and a O(ks−1 ) kernel...
Ge Xia, Yong Zhang