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SIAMDM
2010
128views more  SIAMDM 2010»
13 years 8 months ago
Permutation Capacities of Families of Oriented Infinite Paths
K¨orner and Malvenuto asked whether one can find n n/2 linear orderings (i.e., permutations) of the first n natural numbers such that any pair of them places two consecutive int...
Graham Brightwell, Gérard D. Cohen, Emanuel...
STOC
2002
ACM
144views Algorithms» more  STOC 2002»
14 years 10 months ago
Improved decremental algorithms for maintaining transitive closure and all-pairs shortest paths
We present improved algorithms for maintaining transitive closure and all-pairs shortest paths/distances in a digraph under deletion of edges. For the problem of transitive closur...
Surender Baswana, Ramesh Hariharan, Sandeep Sen
NETWORKS
2008
13 years 9 months ago
The number of spanning trees in a class of double fixed-step loop networks
In this paper, we develop a method to count the number of spanning trees in certain classes of double fixed-step loop networks with nonconstant steps. More specifically our techni...
Xuerong Yong, Yuanping Zhang, Mordecai J. Golin
ALT
2007
Springer
14 years 6 months ago
Learning and Verifying Graphs Using Queries with a Focus on Edge Counting
We consider the problem of learning and verifying hidden graphs and their properties given query access to the graphs. We analyze various queries (edge detection, edge counting, sh...
Lev Reyzin, Nikhil Srivastava
TELSYS
2008
94views more  TELSYS 2008»
13 years 9 months ago
On the minimum hop count and connectivity in one-dimensional ad hoc wireless networks
This paper investigates connectivity in one-dimensional ad hoc networks by means of the distribution of the minimum hop count between source and destination nodes. We derive the ex...
Nelson Antunes, Gonçalo Jacinto, Antó...