Searching for authors named "Nicolas Hanusse" – sorted by Relevance.
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On Compact Encoding of Pagenumber k Graphs
- this paper we show an information-theoretic lower bound of kn o(kn) on the minimum number of bits to represent an unlabeled connected n-node graph of pagenumber k. This has to be compared with the efficient encoding scheme of Munro and Raman of 2kn +2m+o(n) bits, that is 4kn +2n k
- Cited by 3 (1 self) – Add To MetaCart
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Compact Routing Tables for Graphs of Bounded Genus
- This paper deals with compact shortest path routing tables on weighted graphs with n nodes. For planar graphs we show how to construct in linear time shortest path routing tables that require 8n + o(n) bits per node, and O(log 2+ n) bit-operations per node to extract the route, for any constant > 0.
- Cited by 22 (11 self) – Add To MetaCart
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Canonical Decomposition of Outerplanar Maps and Application to Enumeration, Coding and Generation
- In this article we de ne a canonical decomposition of rooted outerplanar maps into a spanning tree and a list of edges. This decomposition, constructible in linear time, implies the existence of bijection between rooted outerplanar maps with n nodes and bicolored rooted ordered trees with n node
- Cited by 3 (1 self) – Add To MetaCart
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Towards small world emergence
- We investigate the problem of optimizing the routing performances of a virtual network by adding extra random links. Our asynchronous and distributed algorithm ensures, by adding a single extra link per node, that the resulting network is a navigable small world, i.e., in which greedy routing, using
- Cited by 7 (1 self) – Add To MetaCart
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Brief announcement: Could any graph be turned into a small world
- Introduction. In the last decade, effective measurements of real interaction networks have revealed specific unexpected properties. Among these, most of these networks present a very small diameter and a high clustering. Furthermore, very short paths can be efficiently found between any pair of node
- Cited by 1 (1 self) – Add To MetaCart
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Searching with Mobile Agents in Networks with Liars
- We present deterministic algorithms to search for an item s contained in a node of a network, without prior knowledge of its exact location. Each node of the network has a database that will answer queries of the form \how do I get to s?" by responding with the rst edge on a shortest path to the
- Cited by 3 (2 self) – Add To MetaCart
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An Information Upper Bound of Planar Graphs Using Triangulation
- We propose a new linear time algorithm to represent a planar graph. Based on a speci c triangulation of the graph, our coding takes on average 5:03 bits per node, and 3:37 bits per node if the graph is maximal. We derive from this representation that the number of unlabeled planar graphs with n
- Cited by 1 (1 self) – Add To MetaCart
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Memoryless Search Algorithms In A Network With Faulty Advice
- In this paper, we present a randomized algorithm for a mobile agent to search for an item t stored at a node of a network, without prior knowledge of its exact location. Each node of the network has a database that will answer queries of the form "how do I get to t?" by responding with the first edg
- Cited by 4 (0 self) – Add To MetaCart
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Planar graphs, via well-orderly maps and trees
- Abstract. The family of well-orderly maps is a family of planar maps with the property that every connected planar graph has at least one plane embedding which is a well-orderly map. We show that the number of well-orderly maps with n nodes is at most 2 αn+O(log n) , where α ≈ 4.91. A direct consequ
- Cited by 5 (1 self) – Add To MetaCart
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Cacti, Braids and Complex Polynomials
- The study of the topological classification of complex polynomials began in the XIX-th century by Luroth (1871), Clebsch (1873) and Hurwitz (1891). In the works of Zdravkovska [23] and Khovanskii and Zdravkovska [17] the problem is reduced to a purely combinatorial one, that of the study of a ce
- Cited by 2 (0 self) – Add To MetaCart

