Improved compact routing scheme for chordal graphs

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Abstract

This paper concerns routing with succinct tables in chordal graphs. We show how to construct in polynomial time, for every n-node chordal graph, a routing scheme using routing tables and addresses of O(log3 n/ log log n) bits per node, and O(log2 n/ log log n) bit not alterable headers such that the length of the route between anyt wo nodes is at most the distance between the nodes in the graph plus two.

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Dourisboure, Y., & Gavoille, C. (2002). Improved compact routing scheme for chordal graphs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2508, pp. 252–264). Springer Verlag. https://doi.org/10.1007/3-540-36108-1_17

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