dc.contributor.authorDau, Son Hoang
dc.contributor.authorSkachek, Vitaly
dc.contributor.authorChee, Yeow Meng
dc.identifier.citationDau, S. H., Skachek, V., & Chee, Y. M. (2012). Optimal index codes with near-extreme rates. 2012 IEEE International Symposium on Information Theory - ISIT, pp.2241-2245.
dc.description.abstractThe min-rank of a digraph was shown by Bar-Yossef et al. (2006) to represent the length of an optimal scalar linear solution of the corresponding instance of the Index Coding with Side Information (ICSI) problem. In this work, the graphs and digraphs of near-extreme min-ranks are characterized. Those graphs and digraphs correspond to the ICSI instances having near-extreme transmission rates when using optimal scalar linear index codes. It is also shown that the decision problem of whether a digraph has min-rank two is NP-complete. By contrast, the same question for graphs can be answered in polynomial time.en_US
dc.titleOptimal index codes with near-extreme ratesen_US
dc.typeConference Paper
dc.contributor.conferenceIEEE International Symposium on Information Theory (2012 : Cambridge, US)en_US
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen_US

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