We motivate and formally define dynamic multipath routing and present the problem of packet forwarding in the multipath routing context. We demonstrate that for multipath sets that are suffis matched, forwarding can be efficiently implemented with (1) a per packet overhead of a small, fixed-length path identifier, and (2) router space overhead linear in K , the number of alternate paths between...

We present parallel algorithms for exact and approximate pattern matching with suffix arrays, using a CREW-PRAM with p processors. Given a static text of length n, we first show how to compute the suffix array interval of a given pattern of length m in O ( m p + lg p+ lg lg p · lg lgn ) time for p ≤ m. For approximate pattern matching with k differences or mismatches, we show how to compute all...

In the life sciences, determining the sequence of bio-molecules is essential step towards the understanding of their functions and interactions inside an organism. Powerful technologies allows to get huge quantities of short sequencing reads that need to be assemble to infer the complete target sequence. These constraints favour the use of a version de Bruijn Graph (DBG) dedicated to assembly. ...

Given string S[1..N ] and integer k, the suffix selection problem is to determine the kth lexicographically smallest amongst the suffixes S[i . . . N ], 1 ≤ i ≤ N . We study the suffix selection problem in the cache-aware model that captures two-level memory inherent in computing systems, for a cache of limited size M and block size B. The complexity of interest is the number of block transfers...

The suffix tree data structure has been intensively described, studied and used in the eighties and nineties, its linear-time construction counterbalancing his spaceconsuming requirements. An equivalent data structure, the suffix array, has been described by Manber and Myers in 1990. This space-economical structure has been neglected during more than a decade, its construction being too slow. S...

Two sufficient conditions are given for the existence of binary fix-free codes. The results move closer to the Ahlswede-Balkenhol-Khachatrian conjecture that Kraft sums of at most suffice for the existence of fix-free codes. For each nonnegative integer let denote the set of all binary words of length , and let denote the set of all finite length binary words, including the empty word. A binary...