By M. Enachescu, A. Goel, R. Govindan, R. Motwani (auth.), Alejandro López-Ortiz, Angèle M. Hamel (eds.)
This ebook constitutes the refereed court cases of the 1st workshop on Combinatorial and Algorithmic features of Networking, held in Banff, Alberta, Canada in August 2004.
The 12 revised complete papers including invited papers provided have been conscientiously reviewed and chosen for inclusion within the booklet. the subjects lined diversity from the net graph to online game thought to thread matching, all within the context of large-scale networks. This quantity includes additionally five survey articles to around out the presentation and provides a accomplished advent to the topic.
Read or Download Combinatorial and Algorithmic Aspects of Networking: First Workshop on Combinatorial and Algorithmic Aspects of Networking, CAAN 2004, Banff, Alberta, Canada, August 5-7, 2004, Revised Selected Papers PDF
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Additional resources for Combinatorial and Algorithmic Aspects of Networking: First Workshop on Combinatorial and Algorithmic Aspects of Networking, CAAN 2004, Banff, Alberta, Canada, August 5-7, 2004, Revised Selected Papers
If s ∈ [0, 1), then with positive probability G is not near-ARO. For all s ∈ [0, 1], with probability 1 G is not isomorphic to ARO. Theorem 3 suggests a threshold behaviour for convergence to a near-ARO: as s tends to 1, with high probability the limit G acquires more and more properties of a near-ARO, but with positive probability is not near-ARO. At s = 1, we obtain a near-ARO with high probability. Proof of Theorem 3. We sketch a proof of (2) only. Let G = limt→∞ Gt . It is straightforward to see that G is good.
The following are equivalent. 1. c. 2. The digraph G is a near-ARO. 3. The digraph G ↔ARO. 4. For all countable good digraphs H, H admits a homomorphism into G. While the digraph ARO is unique up to isomorphism, the following corollary demonstrates that the maximum possible number of non-isomorphic near-ARO digraphs exist. We write 2ℵ0 for the cardinality of the set of real numbers. Corollary 1. There are 2ℵ0 many non-isomorphic countable near-ARO digraphs. We say that a digraph satisﬁes the locally near-ARO adjacency property if it is good, and for all ﬁnite sets of nodes S that are in the out-neighbourhood 46 A.
Since the same dual subroutine is used for all the fractional packing problems, the dual costs for the diﬀerent packing problems grow identically, eliminating the need for maintaining multiple dual costs. Finally, we show how this dual subroutine can be used in conjunction with the fractional packing algorithm of Garg and Konemann  to obtain our result. Even though we use the algorithm of Garg and Konemann, we need to make several non-trivial changes to their analysis; details are presented in section 4.