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SIAMDM
2008
140views more  SIAMDM 2008»
13 years 7 months ago
Bounds for the Real Number Graph Labellings and Application to Labellings of the Triangular Lattice
We establish new lower and upper bounds for the real number graph labelling problem. As an application, we completely determine the optimum spans of L(p, q)-labellings of the infin...
Daniel Král, Petr Skoda
CSR
2008
Springer
13 years 9 months ago
From Invariants to Canonization in Parallel
A function f of a graph is called a complete graph invariant if two given graphs G and H are isomorphic exactly when f(G) = f(H). If additionally, f(G) is a graph isomorphic to G, ...
Johannes Köbler, Oleg Verbitsky
JAPLL
2006
114views more  JAPLL 2006»
13 years 7 months ago
The monadic second-order logic of graphs XV: On a conjecture by D. Seese
A conjecture by D. Seese states that if a set of graphs has a decidable monadic second-order theory, then it is the image of a set of trees under a transformation defined by monad...
Bruno Courcelle
TAGT
1994
Springer
185views Graph Theory» more  TAGT 1994»
13 years 11 months ago
Concatenation of Graphs
An operation of concatenation is introduced for graphs. Then strings are viewed as expressions denoting graphs, and string languages are interpreted as graph languages. For a clas...
Joost Engelfriet, Jan Joris Vereijken
IROS
2007
IEEE
131views Robotics» more  IROS 2007»
14 years 1 months ago
A hybrid approach for complete motion planning
Abstract— We present an efficient algorithm for complete motion planning that combines approximate cell decomposition (ACD) with probabilistic roadmaps (PRM). Our approach uses ...
Liangjun Zhang, Young J. Kim, Dinesh Manocha