TY - GEN
T1 - Delay-constrained unicast and the triangle-cast problem
AU - Chekuri, Chandra
AU - Kamath, Sudeep
AU - Kannan, Sreeram
AU - Viswanath, Pramod
N1 - Publisher Copyright:
© 2015 IEEE.
PY - 2015/9/28
Y1 - 2015/9/28
N2 - We consider the single-unicast communication problem in a network with a delay constraint. For this setting, it has recently been shown that network coding offers an advantage over routing. We show that the existing upper bound in the literature on the capacity offered by network coding can be a factor of Θ(D) larger than the true capacity where D is the delay bound. In this work, we tighten this gap significantly to 8 log(D + 1) by proving a new upper bound. The key insight is a connection to a new traffic model that we call triangle-cast (or degraded multiple-unicast), for which we obtain a logarithmic flow-cut gap by suitably adapting the techniques from the approximation algorithms literature.
AB - We consider the single-unicast communication problem in a network with a delay constraint. For this setting, it has recently been shown that network coding offers an advantage over routing. We show that the existing upper bound in the literature on the capacity offered by network coding can be a factor of Θ(D) larger than the true capacity where D is the delay bound. In this work, we tighten this gap significantly to 8 log(D + 1) by proving a new upper bound. The key insight is a connection to a new traffic model that we call triangle-cast (or degraded multiple-unicast), for which we obtain a logarithmic flow-cut gap by suitably adapting the techniques from the approximation algorithms literature.
KW - delay-constrained unicast
KW - generalized network sharing bound
KW - region-growing lemma
KW - triangle-cast
UR - http://www.scopus.com/inward/record.url?scp=84969800163&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84969800163&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2015.7282566
DO - 10.1109/ISIT.2015.7282566
M3 - Conference contribution
AN - SCOPUS:84969800163
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 804
EP - 808
BT - Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - IEEE International Symposium on Information Theory, ISIT 2015
Y2 - 14 June 2015 through 19 June 2015
ER -