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JCT
2007
98views more  JCT 2007»
15 years 6 months ago
Triangular embeddings of complete graphs from graceful labellings of paths
We show that to each graceful labelling of a path on 2s + 1 vertices, s ≥ 2, there corresponds a current assignment on a 3-valent graph which generates at least 22s cyclic orien...
Luis A. Goddyn, R. Bruce Richter, Jozef Sirá...
CORR
2004
Springer
94views Education» more  CORR 2004»
15 years 6 months ago
Track Layouts of Graphs
A (k, t)-track layout of a graph G consists of a (proper) vertex t-colouring of G, a total order of each vertex colour class, and a (non-proper) edge k-colouring such that between...
Vida Dujmovic, Attila Pór, David R. Wood
FOCS
2004
IEEE
15 years 10 months ago
Edge-Disjoint Paths in Planar Graphs
We study the maximum edge-disjoint paths problem in undirected planar graphs: given a graph G and node pairs (demands) s1t1, s2t2, . . ., sktk, the goal is to maximize the number ...
Chandra Chekuri, Sanjeev Khanna, F. Bruce Shepherd
WSC
2007
15 years 9 months ago
Alternative thread scoring methods in qualitative event graphs
Event Graphs (EGs) and Simulation Graph Models provide a powerful and general modeling framework for discrete event simulation. Qualitative Event Graphs (QEGs) extend the EG frame...
Ricki G. Ingalls, Douglas J. Morrice
SODA
2007
ACM
131views Algorithms» more  SODA 2007»
15 years 8 months ago
On the K-simple shortest paths problem in weighted directed graphs
We obtain the first approximation algorithm for finding the k-simple shortest paths connecting a pair of vertices in a weighted directed graph. Our algorithm is deterministic an...
Liam Roditty