International Workshop on Optimal Network Topologies (IWONT)
The International Workshop on Optimal Network Topologies (IWONT) provides researchers interested in theoretical problems arising from the design and analysis of interconnections networks with the opportunity to meet and discuss on different topics related to this general subject.
The themes covered by the workshop came mainly from Graph Theory and include the degree-diameter problem and the associated design of large graphs and digraphs; spectral techniques; connectivity and vulnerability; symmetry and regularity in graphs; Cayley graphs; factors and graph decompositions; random graphs and probabilistic methods; permutation networks, and routing and protocols in communication networks.
Col·leccions
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3er. 2010 [27]
Facultat de Matemàtiques i Estadística, Universitat Politècnica de Catalunya, Barcelona, 9-11 June 2010
Enviaments recents
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Topology of Cayley graphs applied to inverse additive problems
(2011)
Text en actes de congrés
Accés obertWe present the basic isopermetric structure theory, obtaining some new simplified proofs. Let 1 ≤ r ≤ k be integers. As an application, we obtain simple descriptions for the subsets S of an abelian group with |kS| ≤ ... -
Algebraic characterizations of bipartite distance-regular graphs
(2011)
Text en actes de congrés
Accés obertBipartite graphs are combinatorial objects bearing some interesting symmetries. Thus, their spectra—eigenvalues of its adjacency matrix—are symmetric about zero, as the corresponding eigenvectors come into pairs. Moreover, ... -
A mathematical model for dynamic memory networks
(2011)
Text en actes de congrés
Accés obertThe aim of this paper is to bring together the work done several years ago by M.A. Fiol and the other authors to formulate a quite general mathematical model for a kind of permutation networks known as dynamic memories. A ... -
Large Edge-non-vulnerable Graphs
(2011)
Text en actes de congrés
Accés obertIn this paper we study the graphs such that the deletion of any edge does not increase the diameter. We give some upper bounds for the order of such a graph with given maximum degree and diameter. On the other hand ... -
Dual concepts of almost distance-regularity and the spectral excess theorem
(2011)
Text en actes de congrés
Accés obertGenerally speaking, ‘almost distance-regular’ graphs are graphs that share some, but not necessarily all, regularity properties that characterize distance-regular graphs. In this paper we first propose two dual concepts ... -
Large digraphs of given diameter and degree from coverings
(2011)
Text en actes de congrés
Accés obertWe show that a construction of Comellas and Fiol for large vertex-transitive digraphs of given degree and diameter from small digraphs preserves the properties of being a Cayley digraph and being a regular covering. -
Fiedler’s Clustering on m-dimensional Lattice Graphs
(2011)
Text en actes de congrés
Accés obertWe consider the partitioning of m-dimensional lattice graphs using Fiedler’s approach [1], that requires the determination of the eigenvector belonging to the second smallest eigenvalue of the Laplacian. We examine the ... -
Large graphs of diameter two and given degree
(2011)
Text en actes de congrés
Accés obertLet r(d, 2), C(d, 2), and AC(d, 2) be the largest order of a regular graph, a Cayley graph, and a Cayley graph of an Abelian group, respectively, of diameter 2 and degree d. The best currently known lower bounds on these ... -
An overview of the degree/diameter problem for directed, undirected and mixed graphs
(2011)
Text en actes de congrés
Accés obertA well-known fundamental problem in extremal graph theory is the degree/diameter problem, which is to determine the largest (in terms of the number of vertices) graphs or digraphs or mixed graphs of given maximum degree, ... -
On the k-restricted edge-connectivity of matched sum graphs
(2011)
Text en actes de congrés
Accés obertA matched sum graph $G_1$M$G_2$ of two graphs $G_1$ and $G_2$ of the same order n is obtained by adding to the union (or sum) of $G_1$ and $G_2$ a set M of n independent edges which join vertices in V ($G_1$) to vertices ... -
Application layer multicast algorithm
(2011)
Text en actes de congrés
Accés obertThis paper presents a multicast algorithm, called MSM-s, for point-to-multipoint transmissions. The algorithm, which has complexity O(n2) in respect of the number n of nodes, is easy to implement and can actually be applied ... -
Radially Moore graphs of radius three and large odd degree
(2011)
Text en actes de congrés
Accés obertExtremal graphs which are close related to Moore graphs have been defined in different ways. Radially Moore graphs are one of these examples of extremal graphs. Although it is proved that radially Moore graphs exist for ...
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