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JCT
2007
98views more  JCT 2007»
13 years 8 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...
WADS
2005
Springer
145views Algorithms» more  WADS 2005»
14 years 2 months ago
Approximation Algorithms for Forests Augmentation Ensuring Two Disjoint Paths of Bounded Length
Given a forest F = (V, E) and a positive integer D, we consider the problem of finding a minimum number of new edges E such that in the augmented graph H = (V, E∪E ) any pair of...
Victor Chepoi, Bertrand Estellon, Yann Vaxè...
POPL
2007
ACM
14 years 9 months ago
Preferential path profiling: compactly numbering interesting paths
Path profiles provide a more accurate characterization of a program's dynamic behavior than basic block or edge profiles, but are relatively more expensive to collect. This h...
Kapil Vaswani, Aditya V. Nori, Trishul M. Chilimbi
CPC
2010
122views more  CPC 2010»
13 years 8 months ago
The Longest Minimum-Weight Path in a Complete Graph
We consider the minimum-weight path between any pair of nodes of the n-vertex complete graph in which the weights of the edges are i.i.d. exponentially distributed random variable...
Louigi Addario-Berry, Nicolas Broutin, Gábo...
JSYML
2010
95views more  JSYML 2010»
13 years 3 months ago
Some natural decision problems in automatic graphs
For automatic and recursive graphs, we investigate the following problems: (A) existence of a Hamiltonian path and existence of an infinite path in a tree (B) existence of an Euler...
Dietrich Kuske, Markus Lohrey