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IPPS
1999
IEEE
15 years 10 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
DM
2010
78views more  DM 2010»
15 years 6 months ago
Injective colorings of sparse graphs
Let Mad(G) denote the maximum average degree (over all subgraphs) of G and let i(G) denote the injective chromatic number of G. We prove that if Mad(G) 5 2 , then i(G) + 1; sim...
Daniel W. Cranston, Seog-Jin Kim, Gexin Yu
FOCS
1999
IEEE
15 years 10 months ago
On Counting Independent Sets in Sparse Graphs
Martin E. Dyer, Alan M. Frieze, Mark Jerrum
COMPGEOM
1992
ACM
15 years 10 months ago
New Sparseness Results on Graph Spanners
Barun Chandra, Gautam Das, Giri Narasimhan, Jos&ea...