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Networks with Small Stretch Number (1928)  (Make Corrections)  (3 citations)
Serafino Cicerone, Gabriele Di Stefano
Workshop on Graph-Theoretic Concepts in Computer Science



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Abstract: In a previous work, the authors introduced the class of graphs with bounded induced distance of order k, (BID(k) for short) to model non-reliable interconnection networks. A network modeled as a graph in BID(k) can be characterized as follows: if some nodes have failed, as long as two nodes remain connected, the distance between these nodes in the faulty graph is at most k times the distance in the non-faulty graph. The smallest k such that G 2 BID(k) is called stretch number of G. We show an... (Update)

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BibTeX entry:   (Update)

S. Cicerone and G. Di Stefano, Networks with small stretch number, International Workshop, Graph - Theoretic Concepts in Computer Science (WG), vol. 1928. http://citeseer.ist.psu.edu/cicerone28networks.html   More

@inproceedings{ cicerone00networks,
    author = "Serafino Cicerone and Gabriele Di Stefano",
    title = "Networks with Small Stretch Number",
    booktitle = "Workshop on Graph-Theoretic Concepts in Computer Science",
    pages = "95-106",
    year = "2000",
    url = "citeseer.ist.psu.edu/cicerone28networks.html" }
Citations (may not include all citations):
474   Graph Theory (context) - Harary - 1969
37   Journal of Graph Theory (context) - Peleg, Schaffer - 1989
31   Interval routing (context) - van Leeuwen, Tan - 1987
28   the fault tolerance of some popular boundeddegree networks - Leighton, Maggs et al. - 1998
24   Discrete Applied Mathematics (context) - Hammer, Maffray et al. - 1990
21   Distance-hereditary graphs (context) - Bandelt, Mulder - 1986
21   A graph model for fault-tolerant computing systems (context) - Hayes - 1976
18   Decomposition of directed graphs (context) - Cunningham - 1982
13   SIAM Monographs on Discrete Mathematics and Applications (context) - Brandstadt, Le and et al. - 1999
10   Fault-tolerant meshes with small degree - Bruck, Cypher et al. - 1997
9   Dominating cliques in distance-hereditary graphs (context) - Dragan - 1994
7   Distance-hereditary graphs (context) - D'Atri, Moscarini - 1988
7   Graph classes between parity and distance-hereditary graphs - Cicerone, Di Stefano - 1999
6   Distance-hereditary graphs and multidestination messagerouti.. (context) - Esfahanian, Oellermann - 1993
6   A routing algorithm for networks based on distance-hereditar.. (context) - Di Stefano - 1996
6   Hamiltonian problems on distance-hereditary graphs (context) - Nicolai - 1994
5   A linear time algorithm for connected r-domination and Stein.. (context) - Brandstadt, Dragan - 1998
5   Distance hereditary graphs (context) - Howorka - 1977
4   Graphs with bounded induced distance - Cicerone, Di Stefano - 2000
3   Parallel Processing Letters (context) - Farley, Proskurowski - 1993
3   Networks with small stretch number - Cicerone, Di Stefano - 1928
2   Survivable networks with bounded delay: The edge failure cas.. (context) - Cicerone, Di Stefano et al. - 1999
2   Flammini Compact-Port routing models and applications to dis.. (context) - Cicerone, Di Stefano - 2001
1   domination and weighted k-dominating clique in distance-here.. (context) - Yeh, Chang et al. - 2001

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Compact-Port Routing Models and Applications to.. - Cicerone, Di.. (2001)   (Correct)
(k, +)-Distance-Hereditary Graphs - Cicerone, Di Stefano   (Correct)
Static and Dynamic Low-Congested Interval Routing Schemes - Cicerone, Di Stefano.. (1998)   (Correct)

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