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The 1-Neighbour Knapsack Problem

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Part of the book series:Lecture Notes in Computer Science ((LNTCS,volume 7056))

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Abstract

We study a constrained version of the knapsack problem in which dependencies between items are given by the adjacencies of a graph. In the1-neighbour knapsack problem, an item can be selected only if at least one of its neighbours is also selected. We give approximation algorithms and hardness results when the nodes have both uniform and arbitrary weight and profit functions, and when the dependency graph is directed and undirected.

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Author information

Authors and Affiliations

  1. Oregon State University, United States

    Glencora Borradaile

  2. Williams College, United Kingdom

    Brent Heeringa

  3. Bell Labs, United States

    Gordon Wilfong

Authors
  1. Glencora Borradaile

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  2. Brent Heeringa

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  3. Gordon Wilfong

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Editor information

Editors and Affiliations

  1. Digital Ecosystems & Business Intelligence Institute, Curtin University, Perth, Australia

    Costas S. Iliopoulos

  2. Department of Computing and Software Information Technology Building, McMaster University, 1280 Main Street West, L8S 4K1, Hamilton, ON, Canada

    William F. Smyth

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© 2011 Springer-Verlag Berlin Heidelberg

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Borradaile, G., Heeringa, B., Wilfong, G. (2011). The 1-Neighbour Knapsack Problem. In: Iliopoulos, C.S., Smyth, W.F. (eds) Combinatorial Algorithms. IWOCA 2011. Lecture Notes in Computer Science, vol 7056. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25011-8_6

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Chapter
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eBook
JPY 5719
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
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Softcover Book
JPY 7149
Price includes VAT (Japan)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide -see info

Tax calculation will be finalised at checkout

Purchases are for personal use only


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