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IPPS
1999
IEEE
15 years 1 months ago
Sparse Hypercube: A Minimal k-Line Broadcast Graph
This paper proposes a method for reducing the maximum degree of vertices in graphs that maintain optimal broadcast time when a vertex can call a vertex at distance at most k durin...
Satoshi Fujita, Arthur M. Farley
DCOSS
2008
Springer
14 years 11 months ago
Local PTAS for Independent Set and Vertex Cover in Location Aware Unit Disk Graphs
We present the first local approximation schemes for maximum independent set and minimum vertex cover in unit disk graphs. In the graph model we assume that each node knows its geo...
Andreas Wiese, Evangelos Kranakis
JMLR
2006
118views more  JMLR 2006»
14 years 9 months ago
Learning Factor Graphs in Polynomial Time and Sample Complexity
We study the computational and sample complexity of parameter and structure learning in graphical models. Our main result shows that the class of factor graphs with bounded degree...
Pieter Abbeel, Daphne Koller, Andrew Y. Ng
COCOON
2005
Springer
15 years 3 months ago
New Streaming Algorithms for Counting Triangles in Graphs
Abstract. We present three streaming algorithms that ( , δ)− approximate 1 the number of triangles in graphs. Similar to the previous algorithms [3], the space usage of presente...
Hossein Jowhari, Mohammad Ghodsi
STOC
2006
ACM
114views Algorithms» more  STOC 2006»
15 years 9 months ago
Linear time low tree-width partitions and algorithmic consequences
Classes of graphs with bounded expansion have been introduced in [15], [12]. They generalize both proper minor closed classes and classes with bounded degree. For any class with b...
Jaroslav Nesetril, Patrice Ossona de Mendez