## SFS: Similarity-First Search Seriation Algorithm

An implementation of the Similarity-First Search algorithm (SFS), a combinatorial algorithm which can be used to solve the seriation problem and to recognize some structured weighted graphs. The SFS algorithm represents a generalization to weighted graphs of the graph search algorithm Lexicographic Breadth-First Search (Lex-BFS), a variant of Breadth-First Search. The SFS algorithm reduces to Lex-BFS when applied to binary matrices (or, equivalently, unweighted graphs). Hence this library can be also considered for Lex-BFS applications such as recognition of graph classes like chordal or unit interval graphs. In fact, the SFS seriation algorithm implemented in this package is a multisweep algorithm, which consists in repeating a finite number of SFS iterations (at most n sweeps for a matrix of size n). If the data matrix has a Robinsonian structure, then the ranking returned by the multistep SFS algorithm is a Robinson ordering of the input matrix. Otherwise the algorithm can be used as a heuristic to return a ranking partially satisfying the Robinson property.

 Version: 0.1.4 Imports: Rcpp (≥ 0.12.7) LinkingTo: Rcpp, RcppArmadillo Suggests: seriation Published: 2019-05-07 Author: Matteo Seminaroti [aut, cph], Utz-Uwe Haus [aut, cre, cph], Monique Laurent [ctb] Maintainer: Utz-Uwe Haus License: GPL-3 NeedsCompilation: yes SystemRequirements: C++11 Citation: SFS citation info Materials: README CRAN checks: SFS results

#### Documentation:

 Reference manual: SFS.pdf

 Package source: SFS_0.1.4.tar.gz Windows binaries: r-devel: SFS_0.1.4.zip, r-release: SFS_0.1.4.zip, r-oldrel: SFS_0.1.4.zip macOS binaries: r-release (arm64): SFS_0.1.4.tgz, r-oldrel (arm64): SFS_0.1.4.tgz, r-release (x86_64): SFS_0.1.4.tgz, r-oldrel (x86_64): SFS_0.1.4.tgz Old sources: SFS archive