NDLI: Compressing rectilinear pictures and minimizing access control lists

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Compressing rectilinear pictures and minimizing access control lists

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Compressing rectilinear pictures and minimizing access control lists

Content Provider	ACM Digital Library
Author	Ligett, Katrina Wang, Jia Johnson, David S. Calinescu, Gruia Applegate, David A. Karloff, Howard
Abstract	We consider a geometric model for the problem of minimizing access control lists (ACLs) in network routers, a model that also has applications to rectilinear picture compression and figure drawing in common graphics software packages. Here the goal is to create a colored rectilinear pattern within an initially white rectangular canvas, and the basic operation is to choose a subrectangle and paint it a single color, overwriting all previous colors in the rectangle. Rectangle Rule List (RRL) minimization is the problem of finding the shortest list of rules needed to create a given pattern. ACL minimization is a restricted version of this problem where the set of allowed rectangles must correspond to pairs of IP address prefixes. Motivated by the ACL application, we study the special cases of RRL and ACL minimization in which all rectangles must be strips that extend either the full width or the full height of the canvas (strip-rules). We provide several equivalent characterizations of the patterns achievable using strip-rules and present polynomial-time algorithms for optimally constructing such patterns when, as in the ACL application, the only colors are black and white (permit or deny). We also show that RRL minimization is NP-hard in general and provide $O(min(n^{1/3},$ $OPT^{1/2}))-approximation$ algorithms for general RRL and ACL minimization by exploiting our results about strip-rule patterns.
Starting Page	1066
Ending Page	1075
Page Count	10
File Format	PDF
ISBN	9780898716245
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2007-01-07
Access Restriction	Subscribed
Content Type	Text
Resource Type	Article

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