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Counting Homomorphisms to Sparse Graphs

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Publication:2851494
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DOI10.1016/j.endm.2009.07.065zbMath1273.05146OpenAlexW1972811990MaRDI QIDQ2851494

Patrice Ossona de Mendez, Jaroslav Nešetřil

Publication date: 10 October 2013

Published in: Electronic Notes in Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.endm.2009.07.065

zbMATH Keywords

graphcountinghomomorphismtree-depthBoolean querynowhere dense class


Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)




Cites Work

  • Colouring graphs with bounded generalized colouring number
  • On the order of countable graphs
  • Optimal node ranking of tree in linear time
  • Excluding any graph as a minor allows a low tree-width 2-coloring
  • Grad and classes with bounded expansion. I: Decompositions
  • Grad and classes with bounded expansion. II: Algorithmic aspects
  • On nowhere dense graphs
  • Tree-depth, subgraph coloring and homomorphism bounds
  • Finite Model Theory on Tame Classes of Structures
  • Homomorphism preservation theorems
  • First order properties on nowhere dense structures
  • Operations with structures
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