논문KCI 등재
Characteristic polynomial of the hyperplane arrangements $\mathcal J_n$ via finite field method
대한수학회 (The Korean Mathematical Society)|2018.07|대한수학회논문집 (Communications of the KMS)|제33권 제3호|pp. 759-765
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초록
We use the finite method developed by C. Athanasiadis based on Crapo-Rota's theorem to give a complete formula for the characteristic polynomial of hyperplane arrangements $\cJ_n$ consisting of the hyperplanes $x_i+x_j=1$, $x_k=0$, $x_l=1$, $ 1\leq i, j, k, l\leq n$.
Abstract
We use the finite method developed by C. Athanasiadis based on Crapo-Rota's theorem to give a complete formula for the characteristic polynomial of hyperplane arrangements $\cJ_n$ consisting of the hyperplanes $x_i+x_j=1$, $x_k=0$, $x_l=1$, $ 1\leq i, j, k, l\leq n$.
참고문헌 (6)
- C. A. Athanasiadis, "Characteristic polynomials of subspace arrangements and finite fields", Adv. Math., 122(2), pp.193~233 (1996)[DOI]
- 송정민, "On certain hyperplane arrangements and colored graphs", 대한수학회보, 54(2), pp.375~382 (2017), 대한수학회
- 송정민, "ENUMERATION OF GRAPHS AND THE CHARACTERISTIC POLYNOMIAL OF THE HYPERPLANE ARRANGEMENTS Jn", 대한수학회지, 54(5), pp.1595~1604 (2017), 대한수학회
- J. Song, "Characteristic polynomial of certain hyperplane arrangements through graph theory", ~
- J. Song, "Enumeration of graphs with given weighted number of connected components", Bull. Korean Math. Soc.
- T. Zaslavsky, "Counting the faces of cut-up spaces", Bull. Amer. Math. Soc., 81(5), pp.916~918 (1975)[DOI]
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