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DM
2007
101views more  DM 2007»
13 years 7 months ago
Threshold graphs, shifted complexes, and graphical complexes
We consider a variety of connections between threshold graphs, shifted complexes, and simplicial complexes naturally formed from a graph. These graphical complexes include the inde...
Caroline J. Klivans
CDC
2008
IEEE
137views Control Systems» more  CDC 2008»
14 years 2 months ago
Increasingly correct message passing averaging algorithms
Abstract— We study averaging algorithms, when implemented in large networks of wirelessly connected elements. We extend the notion of “Increasing Correctness” (IC) which was ...
Kurt Plarre, Francesco Bullo
STOC
1993
ACM
109views Algorithms» more  STOC 1993»
13 years 11 months ago
Routing permutations on graphs via matchings
We consider a class of routing problems on connected graphs G. Initially, each vertex v of G is occupied by a “pebble” which has a unique destination π(v) in G (so that π is...
Noga Alon, Fan R. K. Chung, Ronald L. Graham
DAM
2010
167views more  DAM 2010»
13 years 7 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
CORR
2008
Springer
174views Education» more  CORR 2008»
13 years 7 months ago
Bounded Budget Connection (BBC) Games or How to make friends and influence people, on a budget
Motivated by applications in social networks, peer-to-peer and overlay networks, we define and study the Bounded Budget Connection (BBC) game - we have a collection of n players o...
Nikolaos Laoutaris, Laura J. Poplawski, Rajmohan R...