Given a graph, we interpret its adjacency matrix as an information table. We study this correspondence in two directions. Firstly, on the side of graphs by applying to it standard techniques from granular computing. In this way, we are able to connect automorphisms on graphs to the so-called indiscernibility relation and a particular hypergraph built from the starting graph to core and reducts. On the other hand, new concepts are introduced on graphs that have an interesting correspondence on information tables. In particular, some new topological interpretations of the graph and the concept of extended core are given.

Chiaselotti, G., Ciucci, D., Gentile, T. (2016). Simple graphs in granular computing. INFORMATION SCIENCES, 340-341, 279-304 [10.1016/j.ins.2015.12.042].

Simple graphs in granular computing

CIUCCI, DAVIDE ELIO
Secondo
;
2016

Abstract

Given a graph, we interpret its adjacency matrix as an information table. We study this correspondence in two directions. Firstly, on the side of graphs by applying to it standard techniques from granular computing. In this way, we are able to connect automorphisms on graphs to the so-called indiscernibility relation and a particular hypergraph built from the starting graph to core and reducts. On the other hand, new concepts are introduced on graphs that have an interesting correspondence on information tables. In particular, some new topological interpretations of the graph and the concept of extended core are given.
Articolo in rivista - Articolo scientifico
Granular Computing, Information Tables, Rough Set Theory, Simple Graphs, Petersen Graph
English
2016
340-341
279
304
partially_open
Chiaselotti, G., Ciucci, D., Gentile, T. (2016). Simple graphs in granular computing. INFORMATION SCIENCES, 340-341, 279-304 [10.1016/j.ins.2015.12.042].
File in questo prodotto:
File Dimensione Formato  
SG_GrC3.pdf

accesso aperto

Tipologia di allegato: Submitted Version (Pre-print)
Dimensione 430.22 kB
Formato Adobe PDF
430.22 kB Adobe PDF Visualizza/Apri
2016-INS340.pdf

Solo gestori archivio

Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Dimensione 1.9 MB
Formato Adobe PDF
1.9 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/102303
Citazioni
  • Scopus 46
  • ???jsp.display-item.citation.isi??? 39
Social impact