Membership(s) and compliance(s) with class-based graphs

Besides the need for a better understanding of networks, there is a need for prescriptive models and tools to specify requirements concerning networks and their associated graph representations. We propose class-based graphs as a means to specify requirements concerning object-based graphs. Various variants of membership are proposed as special relations between class-based and object-based graphs at the local level, while various variants of compliance are proposed at the global level.

[1]  Benjamin C. Pierce,et al.  Types and programming languages: the next generation , 2003, 18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings..

[2]  Michael Stonebraker,et al.  Readings in Database Systems , 1988 .

[3]  M. Newman,et al.  The structure of scientific collaboration networks. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[4]  D S Callaway,et al.  Network robustness and fragility: percolation on random graphs. , 2000, Physical review letters.

[5]  Kai Riemer,et al.  Internet Social Networking , 2011 .

[6]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[7]  Mahmoud Fouz,et al.  Social networks spread rumors in sublogarithmic time , 2011, STOC '11.

[8]  Mahmoud Fouz,et al.  Social Networks Spread Rumors in Sublogarithmic Time , 2011, Electron. Notes Discret. Math..

[9]  Faiez Gargouri,et al.  Ontology Theory, Management and Design - Advanced Tools and Models , 2010, Ontology Theory, Management and Design.

[10]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[11]  Laurian M. Chirica,et al.  The entity-relationship model: toward a unified view of data , 1975, SIGF.

[12]  A. Fersht,et al.  Structure and mechanism in protein science (book review) , 1999 .

[13]  Albert-László Barabási,et al.  Internet: Diameter of the World-Wide Web , 1999, Nature.

[14]  Dan Brickley,et al.  Rdf vocabulary description language 1.0 : Rdf schema , 2004 .

[15]  G. Cecchi,et al.  Scale-free brain functional networks. , 2003, Physical review letters.

[16]  Marco Gonzalez,et al.  Author's Personal Copy Social Networks Tastes, Ties, and Time: a New Social Network Dataset Using Facebook.com , 2022 .

[17]  J. Montoya,et al.  Small world patterns in food webs. , 2002, Journal of theoretical biology.