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» Duality in Infinite Graphs
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NETWORKS
2011
12 years 11 months ago
On terminal delta-wye reducibility of planar graphs
A graph is terminal ∆ − Y -reducible if, it can be reduced to a distinguished set of terminal vertices by a sequence of series-parallel reductions and ∆−Y -transformations...
Isidoro Gitler, Feliu Sagols
CCCG
2008
13 years 10 months ago
On the Complexity of Point Recolouring in Geometric Graphs
Given a collection of points representing geographic data we consider the task of delineating boundaries based on the features of the points. Assuming that the features are binary...
Henk Meijer, Yurai Núñez Rodrí...
STOC
2005
ACM
96views Algorithms» more  STOC 2005»
14 years 9 months ago
Every monotone graph property is testable
A graph property is called monotone if it is closed under taking (not necessarily induced) subgraphs (or, equivalently, if it is closed under removal of edges and vertices). Many ...
Noga Alon, Asaf Shapira
ENDM
2006
70views more  ENDM 2006»
13 years 8 months ago
Quasirandomness in Graphs
Jim Propp's rotor router model is a simple deterministic analogue of a random walk. Instead of distributing chips randomly, it serves the neighbors in a fixed order. We analy...
Benjamin Doerr, Tobias Friedrich
TIT
2010
107views Education» more  TIT 2010»
13 years 3 months ago
Information inequalities for joint distributions, with interpretations and applications
Upper and lower bounds are obtained for the joint entropy of a collection of random variables in terms of an arbitrary collection of subset joint entropies. These inequalities gene...
Mokshay M. Madiman, Prasad Tetali