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» Bound Graph Polysemy
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DM
2006
77views more  DM 2006»
15 years 5 months ago
Strong edge-coloring of graphs with maximum degree 4 using 22 colors
In 1985, Erdos and Ne
Daniel W. Cranston
CPC
2008
51views more  CPC 2008»
15 years 5 months ago
Winning Fast in Sparse Graph Construction Games
A Graph Construction Game is a Maker-Breaker game. Maker and Breaker take turns in choosing previously unoccupied edges of the complete graph KN . Maker's aim is to claim a c...
Ohad N. Feldheim, Michael Krivelevich
DM
1999
101views more  DM 1999»
15 years 4 months ago
Characterizations of bipartite Steinhaus graphs
We characterize bipartite Steinhaus graphs in three ways by partitioning them into four classes and we describe the color sets for each of these classes. An interesting recursion ...
Gerard J. Chang, Bhaskar DasGupta, Wayne M. Dym&ag...
STOC
2004
ACM
121views Algorithms» more  STOC 2004»
16 years 5 months ago
Lower bounds for dynamic connectivity
We prove an (lg n) cell-probe lower bound on maintaining connectivity in dynamic graphs, as well as a more general trade-off between updates and queries. Our bound holds even if t...
Mihai Patrascu, Erik D. Demaine
120
Voted
CSL
2009
Springer
15 years 11 months ago
Automatic Structures of Bounded Degree Revisited
Abstract. It it shown that the first-order theory of an automatic structure, whose Gaifman graph has bounded degree, is decidable in doubly exponential space (for injective automa...
Dietrich Kuske, Markus Lohrey