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Face vectors of flag complexes

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Abstract

A conjecture of Kalai and Eckhoff that the face vector of an arbitrary flag complex is also the face vector of some particular balanced complex is verified.

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References

  1. J. Eckhoff, Intersection properties of boxes. I. An upper-bound theorem, Israel Journal of Mathematics 62 (1988), 283–301.

    Article  MathSciNet  MATH  Google Scholar 

  2. J. Eckhoff, The maximum number of triangles in a K 4-free graph, Discrete Mathematics 194 (1999), 95–106.

    Article  MathSciNet  MATH  Google Scholar 

  3. J. Eckhoff, A new Turán-type theorem for cliques in graphs, Discrete Mathematics 282 (2004), 113–122.

    Article  MathSciNet  MATH  Google Scholar 

  4. P. Frankl, Z. Füredi and G. Kalai, Shadows of colored complexes, Mathematica Scandinavica 63 (1988), 169–178.

    MathSciNet  MATH  Google Scholar 

  5. G. Katona, A theorem of finite sets, in Theory of Graphs, Academic Press, New York, 1968, pp. 187–207.

    Google Scholar 

  6. J. B. Kruskal, The number of simplices in a complex, in Mathematical Optimization Techniques, University of California Press, Berkeley, California, 1963, pp. 251–278.

    Google Scholar 

  7. R. Stanley, Balanced Cohen-Macaulay complexes, Transactions of the American Mathematical Society 249 (1979), 139–157.

    Article  MathSciNet  MATH  Google Scholar 

  8. R. Stanley, Combinatorics and Commutative Algebra, Second Edition, Birkhauser Boston, Inc., Boston, Massachusetts, 1996.

    MATH  Google Scholar 

  9. P. Turán, Eine Extremalaufgabe aus der Graphentheorie Matematicheskaya Fizika, Lapok 48 (1941), 436–452.

    MATH  Google Scholar 

  10. A. A. Zykov, On some properties of linear complexes, American Mathematical Society Translations, 1952 no. 79.

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Correspondence to Andrew Frohmader.

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Frohmader, A. Face vectors of flag complexes. Isr. J. Math. 164, 153–164 (2008). https://doi.org/10.1007/s11856-008-0024-3

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  • DOI: https://doi.org/10.1007/s11856-008-0024-3

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