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DAM
2010
167views more  DAM 2010»
15 years 6 months ago
A new characterization of P6-free graphs
We study P6-free graphs, i.e., graphs that do not contain an induced path on six vertices. Our main result is a new characterization of this graph class: a graph G is P6-free if an...
Pim van 't Hof, Daniël Paulusma
DM
2008
94views more  DM 2008»
15 years 6 months ago
On low degree k-ordered graphs
A simple graph G is k-ordered (respectively, k-ordered hamiltonian) if, for any sequence of k distinct vertices v1, . . . , vk of G, there exists a cycle (respectively, a hamilton...
Karola Mészáros
CCCG
2009
15 years 7 months ago
Rigid Components of Random Graphs
We study the emergence of rigid components in an Erdos-R
Louis Theran
FCT
2007
Springer
15 years 8 months ago
On the Complexity of Kings
The diameter of an undirected graph is the minimal number d such that there is a path between any two vertices of the graph of length at most d. The radius of a graph is the minim...
Edith Hemaspaandra, Lane A. Hemaspaandra, Till Tan...
CORR
2010
Springer
60views Education» more  CORR 2010»
15 years 6 months ago
Hitting time results for Maker-Breaker games
We study Maker-Breaker games played on the edge set of a random graph. Specifically, we consider the random graph process and analyze the first time in a typical random graph proc...
Sonny Ben-Shimon, Asaf Ferber, Dan Hefetz, Michael...