exploring spatial networks with greedy navigators
TRANSCRIPT
Petter HolmeUmeå University, Sungkyunkwan University,Stockholm University, Institute for Future Studies
Sang Hoon LeeUmeå University, Oxford University
(Greedy navigator) navigability
Avg. distanceAvg. distance for random navigators
Rg =
random navigators perform a random DFS
Network N M dg d dr Rg Rr
Boston* 88 155 6.8 5.7 30.8 84% 19%null model 8.6 3.7 23.2 43% 16%New York* 125 217 8.3 6.8 44.4 82% 15%null model 11.7 4.0 33.5 34% 12%
LCM 184 194 62.8 20.6 86.2 33% 24%
* from Youn, Gastner, Jeong, PRL (2008)
–1.2
–1
–0.8
–0.6
–0.4
–0.2
0
0.2
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
BAHKWS
Karate Club2D square
1D ring
relative position f in greedy paths
devia
tion
from
shor
test p
ath
optimized
–1.2–1
–0.8–0.6–0.4–0.2
00.2
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
devia
tion
from
shor
test p
ath
relative position f in GSN paths
BAHKWS
Karate Club2D square
1D ring
KK
Thank you!SH Lee & P Holme, 2012. Exploring maps with greedy navigators. Phys. Rev. Lett. 108:128701.
SH Lee & P Holme, 2012. A greedy-navigator approach to navigable city plans. To appear in Eur. J. Phys. Spec. Top.
SH Lee & P Holme, 2012. Geometric properties of graph layouts optimized for greedy navigation. Under review Phys. Rev. E.