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COMBINATORICS
2006
121views more  COMBINATORICS 2006»
14 years 11 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»
14 years 10 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
15 years 5 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»
15 years 6 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»
14 years 11 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 ...