Notice bibliographique
- Notice
000 02370n0 m 22000271 45as
001 FRBNF446437330000005
008 170801s 2008 useng b 001
009 a zd a z
009 sa 1 a mm x
017 .. $o OCoLC $a 181068646 $k UKM $l eng $m UKM $m BAKER $m YDXCP $m BTCTA $m BWX $m WAU $m DEBBG $m MUU $m UKMGB $m OCLCF $m NAM $m OCLCQ
020 .. $a 9780387754505
051 .. $a txt $b c
245 1. $a Graphs, dioids and semirings $d Texte électronique $e new models and algorithms $f Michel Gondran and Michel Minoux
260 .. $a New York $c Springer $d cop. 2008
280 .. $a 1 ressource dématérialisée
295 1. $a Operations research/computer science interfaces $v ORCS 41
300 .. $a Includes bibliographical references (pages 367-376) and index
330 .. $a "The primary objective of Graphs, Dioids and Semirings: New Models and Algorithms
is to emphasize the deep relationship existing between the semiring and dioid structures
with graphs and their combinatorial properties, while demonstrating the modeling and
problem-solving capability and flexibility of these structures. In addition, the book
provides an. extensive overview of the mathematical properties employed by "nonclassical"
algebraic structures, which either extend usual algebra (i.e., semirings), or correspond
to a new branch of algebra (i.e., dioids), apart from the classical structures of
groups, rings, and fields."--Jacket
829 .. $a 1. Pre-semirings, semirings and dioids ; 2. Combinatorial properties of (pre)-semirings
; 3. Topology on ordered sets: topological dioids ; 4. Solving linear systems in
dioids ; 5. Linear dependence and independence in semi-modules and moduloids ; 6.
Eigenvalues and eigenvectors of endomorphisms ; 7. Dioids and nonlinear analysis
; 8. Collected examples of monoids, (pre)-semirings and dioids.
