A note on Möbius inversion over power set lattices

Klaus Dohmen

Commentationes Mathematicae Universitatis Carolinae (1997)

  • Volume: 38, Issue: 1, page 121-124
  • ISSN: 0010-2628

Abstract

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In this paper, we establish a theorem on Möbius inversion over power set lattices which strongly generalizes an early result of Whitney on graph colouring.

How to cite

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Dohmen, Klaus. "A note on Möbius inversion over power set lattices." Commentationes Mathematicae Universitatis Carolinae 38.1 (1997): 121-124. <http://eudml.org/doc/248090>.

@article{Dohmen1997,
abstract = {In this paper, we establish a theorem on Möbius inversion over power set lattices which strongly generalizes an early result of Whitney on graph colouring.},
author = {Dohmen, Klaus},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Möbius inversion; power set lattices; graphs; hypergraphs; colourings; Möbius inversion; power set lattices; graphs; hypergraphs; colourings},
language = {eng},
number = {1},
pages = {121-124},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A note on Möbius inversion over power set lattices},
url = {http://eudml.org/doc/248090},
volume = {38},
year = {1997},
}

TY - JOUR
AU - Dohmen, Klaus
TI - A note on Möbius inversion over power set lattices
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1997
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 38
IS - 1
SP - 121
EP - 124
AB - In this paper, we establish a theorem on Möbius inversion over power set lattices which strongly generalizes an early result of Whitney on graph colouring.
LA - eng
KW - Möbius inversion; power set lattices; graphs; hypergraphs; colourings; Möbius inversion; power set lattices; graphs; hypergraphs; colourings
UR - http://eudml.org/doc/248090
ER -

References

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  1. Dohmen K., A contribution to the chromatic theory of uniform hypergraphs, Result. Math. 28 (1995), 49-52. (1995) Zbl0831.05029MR1345354
  2. Dohmen K., A Broken-Circuits-Theorem for hypergraphs, Arch. Math. 64 (1995), 159-162. (1995) Zbl0813.05048MR1312006
  3. van Lint J.H., Wilson R.M., A Course in Combinatorics, Cambridge University Press, Cambridge, 1992. Zbl0980.05001MR1207813
  4. Whitney H., A logical expansion in mathematics, Bull. Amer. Math. Soc. 38 (1932), 572-579. (1932) Zbl0005.14602MR1562461

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