Art

J-GLOBAL ID：201902237554337743   Reference number：19A2479709

Excluded Minors for Q-Representability in Algebraic Extension

代数的拡張におけるQ表現可能性のための排除小行列式

Author (2)： HIRAISHI Hidefumi (Graduate School of Information Science and Technology, The University of Tokyo) ,  MORIYAMA Sonoko (Department of Information Science, Nihon University)
Material： IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences (Web)  (IEICE Trans Fundam Electron Commun Comput Sci (Web))
Volume： E102.A  Issue： 9  Page： 1017-1021(J-STAGE)  Publication year： 2019 
JST Material Number： U0466A  ISSN： 1745-1337  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： method of solution ,  method ,  *determinant ,  *representation ,  matroid ,  graph ,  characterization ,  polynomial ,  *algebraic approach

Author keywords (3)： matroid ,  representable matroid ,  matroid minor

JST classification (1)： Algebra  (AB02000R)

Reference (12)：

• [1] R.E. Bixby, “On Reid's characterization of the ternary matroids,” J. Combinatorial Theory, Series B, vol.26, no.2, pp.174-204, 1979. 10.1016/0095-8956(79)90056-x
• [2] J.F. Geelen, A.M.H. Gerards, and A. Kapoor, “The excluded minor for GF(4)-representable matroids,” J. Combinatorial Theory, Series B, vol.79, no.2, pp.247-299, 2000. 10.1006/jctb.2000.1963
• [3] J.F. Geelen, A.M.H. Gerards, and G. Whittle, “Solving Rota's conjecture,” Notices Am. Math. Soc., vol.61, no.7, pp.736-743, 2014. 10.1090/noti1139
• [4] B. Grünbaum, “Arrangements and spreads,” Regional Conference Series in Math. 10, American Mathematical Society, 1982.
• [5] B. Grünbaum, Convex Polytopes, 2nd ed., Graduate Texits in Mathematics, Springer-Verlag, New York, 1967.

Terms in the title (4)： 拡張 ,  表現 ,  可能性 ,  排除