Dynamic storage allocation and on-line colouring interval graphs

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Abstract

We present an improved on-line algorithm for colouring interval graphs with bandwidth. This problem has recently been studied in [1] and a 195-competitive online strategy has been presented. We improve this by presenting a 10-competitive strategy. To achieve this result, we use the online colouring algorithm presented in [8, 9]. We also present a new analysis of a polynomial time 3-approximation algorithm for Dynamic Storage Allocation(DSA) using features of the optimal on-line algorithm for colouring interval graphs [8, 9]. © Springer-Verlag Berlin Heidelberg 2004.

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Narayanaswamy, N. S. (2004). Dynamic storage allocation and on-line colouring interval graphs. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 3106, 329–338. https://doi.org/10.1007/978-3-540-27798-9_36

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