Result: Suborbits of a point-stabilizer in the unitary group on the last subconstituent of Hermitean dual polar graphs
Title:
Suborbits of a point-stabilizer in the unitary group on the last subconstituent of Hermitean dual polar graphs
Authors:
Source:
Linear algebra and its applications. 433(2):333-341
Publisher Information:
Amsterdam: Elsevier, 2010.
Publication Year:
2010
Physical Description:
print, 16 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Combinatoire. Structures ordonnées, Combinatorics. Ordered structures, Combinatoire, Combinatorics, Problèmes combinatoires classiques, Classical combinatorial problems, Algèbre, Algebra, Algèbre linéaire et multilinéaire, matrices, Linear and multilinear algebra, matrix theory, Graphe régulier, Regular graph, Grafo regular, Groupe unitaire, Unitary group, Grupo unitario, Régularité, Regularity, Regularidad, Sous graphe, Subgraph, Subgrafo, Théorie graphe, Graph theory, Teoría grafo, 05B25, 05C25, Dual polar graph, Quasi-strongly regular graph, Subconstituent, Suborbit
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Dept. of Math., Hunan Institute of Science and Technology, Yueyang 414006, China
Sch. Math. Sci. & Lab. Math. Com. Sys., Beijing Normal University, Beijing 100875, China
Math. and Inf. College, Langfang Teachers' College, Langfang 065000, China
Oxford College of Emory University, Oxford, GA 30054, United States
Sch. Math. Sci. & Lab. Math. Com. Sys., Beijing Normal University, Beijing 100875, China
Math. and Inf. College, Langfang Teachers' College, Langfang 065000, China
Oxford College of Emory University, Oxford, GA 30054, United States
ISSN:
0024-3795
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.22795422
Database:
PASCAL Archive
Further Information
Let Γ be a dual polar graph in a unitary space. It is well-known that a point-stabilizer in the unitary group is transitive on the last subconstituent Λ of Γ. In this paper, we determine all the suborbits of this action, calculate its rank and the length of each suborbit. Note that the induced subgraph on Λ is quasi-strongly regular. As an application of our results, all its parameters are computed.