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JSYML
2008
100views more  JSYML 2008»
15 years 3 months ago
Measurable chromatic numbers
We show that if add(null) = c, then the globally Baire and universally measurable chromatic numbers of the graph of any Borel function on a Polish space are equal and at most three...
Benjamin D. Miller
ICASSP
2010
IEEE
15 years 2 months ago
Unidirectional graph-based wavelet transforms for efficient data gathering in sensor networks
We design lifting-based wavelet transforms for any arbitrary communication graph in a wireless sensor network (WSN). Since transmitting raw data bits along the routing trees in WS...
Sunil K. Narang, Godwin Shen, Antonio Ortega
CORR
2010
Springer
81views Education» more  CORR 2010»
15 years 3 months ago
Relaxation-based coarsening and multiscale graph organization
We propose a new measure that quantifies the "closeness" between two nodes in a given graph. The calculation of the measure is linear in the number of edges in the graph...
Dorit Ron, Ilya Safro, Achi Brandt
DM
2006
71views more  DM 2006»
15 years 3 months ago
Pair lengths of product graphs
The pair length of a graph G is the maximum positive integer k, such that the vertex set of G can be partitioned into disjoint pairs {x, x }, such that d(x, x ) k for every x V (...
Demetres Christofides
ICALP
2009
Springer
16 years 4 months ago
Universal Succinct Representations of Trees?
Abstract. We consider the succinct representation of ordinal and cardinal trees on the RAM with logarithmic word size. Given a tree T, our representations support the following ope...
Arash Farzan, Rajeev Raman, S. Srinivasa Rao