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CPC
2006
92views more  CPC 2006»
13 years 7 months ago
Increments of Random Partitions
For any partition of {1, 2, . . . , n} we define its increments Xi, 1 i n by Xi = 1 if i is the smallest element in the partition block that contains it, Xi = 0 otherwise. We pr...
Serban Nacu
DISOPT
2008
113views more  DISOPT 2008»
13 years 7 months ago
The inverse 1-median problem on a cycle
Abstract. Let the graph G = (V, E) be a cycle with n + 1 vertices, nonnegative vertex weights and positive edge lengths. The inverse 1-median problem on a cycle consists in changin...
Rainer E. Burkard, Carmen Pleschiutschnig, Jianzho...
DM
2008
58views more  DM 2008»
13 years 7 months ago
The vertex isoperimetric problem for the powers of the diamond graph
We introduce a new graph for all whose cartesian powers the vertex isoperimetric problem has nested solutions. This is the fourth kind of graphs with this property besides the wel...
Sergei L. Bezrukov, Miquel Rius, Oriol Serra
DM
2010
83views more  DM 2010»
13 years 7 months ago
Polychromatic colorings of arbitrary rectangular partitions
A general (rectangular) partition is a partition of a rectangle into an arbitrary number of non-overlapping subrectangles. This paper examines vertex colorings using four colors o...
Dániel Gerbner, Balázs Keszegh, Nath...
KDD
2012
ACM
200views Data Mining» more  KDD 2012»
11 years 10 months ago
Vertex neighborhoods, low conductance cuts, and good seeds for local community methods
The communities of a social network are sets of vertices with more connections inside the set than outside. We theoretically demonstrate that two commonly observed properties of s...
David F. Gleich, C. Seshadhri