License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
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DOI: 10.4230/LIPIcs.CP.2022.6
URN: urn:nbn:de:0030-drops-166353
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Beldiceanu, Nicolas ; Cheukam-Ngouonou, Jovial ; Douence, RĂ©mi ; Gindullin, Ramiz ; Quimper, Claude-Guy

Acquiring Maps of Interrelated Conjectures on Sharp Bounds

LIPIcs-CP-2022-6.pdf (0.8 MB)


To automate the discovery of conjectures on combinatorial objects, we introduce the concept of a map of sharp bounds on characteristics of combinatorial objects, that provides a set of interrelated sharp bounds for these combinatorial objects. We then describe a Bound Seeker, a CP-based system, that gradually acquires maps of conjectures. The system was tested for searching conjectures on bounds on characteristics of digraphs: it constructs sixteen maps involving 431 conjectures on sharp lower and upper-bounds on eight digraph characteristics.

BibTeX - Entry

  author =	{Beldiceanu, Nicolas and Cheukam-Ngouonou, Jovial and Douence, R\'{e}mi and Gindullin, Ramiz and Quimper, Claude-Guy},
  title =	{{Acquiring Maps of Interrelated Conjectures on Sharp Bounds}},
  booktitle =	{28th International Conference on Principles and Practice of Constraint Programming (CP 2022)},
  pages =	{6:1--6:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-240-2},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{235},
  editor =	{Solnon, Christine},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-166353},
  doi =		{10.4230/LIPIcs.CP.2022.6},
  annote =	{Keywords: Acquisition of conjectures, digraphs, bounds}

Keywords: Acquisition of conjectures, digraphs, bounds
Collection: 28th International Conference on Principles and Practice of Constraint Programming (CP 2022)
Issue Date: 2022
Date of publication: 23.07.2022
Supplementary Material: Software (Source Code):

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