Bicolor-eliminable graphs and free multiplicities on the braid arrangement

Abe, Takuro; Nuida, Koji; Numata, Yasuhide

Hokkaido University Preprint Series in Mathematics, 2008, 893, 1-19

Permalink : https://doi.org/10.14943/84043

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DOI	https://doi.org/10.14943/84043
URI	https://hdl.handle.net/2115/69702
タイトル	Bicolor-eliminable graphs and free multiplicities on the braid arrangement
著者	Abe, Takuro ; Nuida, Koji ; Numata, Yasuhide
著者名 Abe, Takuro
著者名 Nuida, Koji
著者名 Numata, Yasuhide
言語	英語
発行日	2008
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	893
ページ	1-19
抄録	We define specific multiplicities on the braid arrangement by using edge-bicolored graphs. To consider their freeness, we introduce the notion of bicolor-eliminable graphs as a generalization of Stanley's classification theory of free graphic arrangements by chordal graphs. This generalization gives us a complete classification of the free multiplicities defined above. As an application, we prove one direction of a conjecture of Athanasiadis on the characterization of the freeness of the deformation of the braid arrangement in terms of directed graphs.
資源タイプ	紀要論文
出版タイプ	Version of Record