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DM
1998
95views more  DM 1998»
14 years 11 months ago
An Euler-type formula for median graphs
Let G be a median graph on n vertices and m edges and let k be the number of equivalence classes of the Djokovi´c’s relation Θ defined on the edge-set of G. Then 2n − m −...
Sandi Klavzar, Henry Martyn Mulder, Riste Skrekovs...
DM
1999
145views more  DM 1999»
14 years 11 months ago
Modular decomposition and transitive orientation
A module of an undirected graph is a set X of nodes such for each node x not in X , either every member of X is adjacent to x, or no member of X is adjacent to x. There is a canon...
Ross M. McConnell, Jeremy Spinrad
106
Voted
PRL
2007
100views more  PRL 2007»
14 years 11 months ago
Visible models for interactive pattern recognition
The bottleneck in interactive visual classification is the exchange of information between human and machine. We introduce the concept of the visible model, which is an ion of an ...
Jie Zou, George Nagy
JCT
2010
114views more  JCT 2010»
14 years 10 months ago
An almost quadratic bound on vertex Folkman numbers
The vertex Folkman number F(r, n, m), n < m, is the smallest integer t such that there exists a Km-free graph of order t with the property that every r-coloring of its vertices...
Andrzej Dudek, Vojtech Rödl
CORR
2011
Springer
138views Education» more  CORR 2011»
14 years 6 months ago
A new approach to nonrepetitive sequences
A sequence is nonrepetitive if it does not contain two adjacent identical blocks. The remarkable construction of Thue asserts that 3 symbols are enough to build an arbitrarily long...
Jaroslaw Grytczuk, Jakub Kozik, Piotr Micek