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CORR
2010
Springer
90views Education» more  CORR 2010»
14 years 12 months ago
Logical complexity of graphs: a survey
We discuss the definability of finite graphs in first-order logic with two relation symbols for adjacency and equality of vertices. The logical depth D(G) of a graph G is equal to ...
Oleg Pikhurko, Oleg Verbitsky
PODC
2006
ACM
15 years 5 months ago
On the complexity of distributed graph coloring
Coloring the nodes of a graph with a small number of colors is one of the most fundamental problems in theoretical computer science. In this paper, we study graph coloring in a di...
Fabian Kuhn, Roger Wattenhofer
GLVLSI
2009
IEEE
159views VLSI» more  GLVLSI 2009»
15 years 6 months ago
On the complexity of graph cuboidal dual problems for 3-D floorplanning of integrated circuit design
This paper discusses the impact of migrating from 2-D to 3-D on floorplanning and placement. By looking at a basic formulation of graph cuboidal dual problem, we show that the 3-...
Renshen Wang, Chung-Kuan Cheng
IANDC
2007
111views more  IANDC 2007»
14 years 11 months ago
Expressiveness and complexity of graph logic
We investigate the complexity and expressive power of a spatial logic for reasoning about graphs. This logic was previously introduced by Cardelli, Gardner and Ghelli, and provide...
Anuj Dawar, Philippa Gardner, Giorgio Ghelli
EM
2010
155views Management» more  EM 2010»
14 years 12 months ago
Hyperbolic Graphs of Small Complexity
In this paper we enumerate and classify the "simplest" pairs (M, G) where M is a closed orientable 3-manifold and G is a trivalent graph embedded in M. To enumerate the p...
Damian Heard, Craig Hodgson, Bruno Martelli, Carlo...