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CORR
2010
Springer
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13 years 4 months ago
A New Lower Bound on the Density of Vertex Identifying Codes for the Infinite Hexagonal Grid
Given a graph G, an identifying code D V (G) is a vertex set such that for any two distinct vertices v1, v2 V (G), the sets N[v1] D and N[v2] D are distinct and nonempty (here...
Daniel W. Cranston, Gexin Yu
CCCG
2008
13 years 6 months ago
Computing the Stretch Factor of Paths, Trees, and Cycles in Weighted Fixed Orientation Metrics
Let G be a graph embedded in the L1-plane. The stretch factor of G is the maximum over all pairs of distinct vertices p and q of G of the ratio LG 1 (p, q)/L1(p, q), where LG 1 (p...
Christian Wulff-Nilsen