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COMBINATORICS
2006
121views more  COMBINATORICS 2006»
13 years 4 months ago
Constructive Upper Bounds for Cycle-Saturated Graphs of Minimum Size
Ronald J. Gould, Tomasz Luczak, John R. Schmitt
IPL
2010
111views more  IPL 2010»
13 years 2 months ago
Connecting face hitting sets in planar graphs
We show that any face hitting set of size n of a connected planar graph with a minimum degree of at least 3 is contained in a connected subgraph of size 5n − 6. Furthermore we s...
Pascal Schweitzer, Patrick Schweitzer
SPAA
2006
ACM
13 years 10 months ago
On space-stretch trade-offs: upper bounds
One of the fundamental trade-offs in compact routing schemes is between the space used to store the routing table on each node and the stretch factor of the routing scheme – th...
Ittai Abraham, Cyril Gavoille, Dahlia Malkhi
FAW
2009
Springer
177views Algorithms» more  FAW 2009»
13 years 11 months ago
Bounds on the Geometric Mean of Arc Lengths for Bounded-Degree Planar Graphs
Data access time becomes the main bottleneck in applications dealing with large-scale graphs. Cache-oblivious layouts, constructed to minimize the geometric mean of arc lengths of ...
Mohammad Khairul Hasan, Sung-Eui Yoon, Kyung-Yong ...
DM
2002
116views more  DM 2002»
13 years 4 months ago
Star forests, dominating sets and Ramsey-type problems
A star forest of a graph G is a spanning subgraph of G in which each component is a star. The minimum number of edges required to guarantee that an arbitrary graph, or a bipartite...
Sheila Ferneyhough, Ruth Haas, Denis Hanson, Gary ...