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» The Alcuin Number of a Graph
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PODC
2012
ACM
13 years 8 months ago
Iterative approximate byzantine consensus in arbitrary directed graphs
This paper proves a necessary and sufficient condition for the existence of iterative algorithms that achieve approximate Byzantine consensus in arbitrary directed graphs, where e...
Nitin H. Vaidya, Lewis Tseng, Guanfeng Liang
ECCC
2010
143views more  ECCC 2010»
15 years 3 months ago
Space-Efficient Algorithms for Reachability in Surface-Embedded Graphs
We consider the reachability problem for a certain class of directed acyclic graphs embedded on surfaces. Let G(m, g) be the class of directed acyclic graphs with m = m(n) source ...
Derrick Stolee, N. V. Vinodchandran
COMBINATORICS
2000
85views more  COMBINATORICS 2000»
15 years 6 months ago
Inequality Related to Vizing's Conjecture
Let (G) denote the domination number of a graph G and let G H denote the Cartesian product of graphs G and H. We prove that (G)(H) 2(G H) for all simple graphs G and H. 2000 Math...
W. Edwin Clark, Stephen Suen
HPDC
2009
IEEE
16 years 25 days ago
Maintaining reference graphs of globally accessible objects in fully decentralized distributed systems
Since the advent of electronic computing, the processors’ clock speed has risen tremendously. Now that energy efficiency requirements have stopped that trend, the number of proc...
Björn Saballus, Thomas Fuhrmann
STOC
1993
ACM
109views Algorithms» more  STOC 1993»
15 years 10 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