Format:
Online-Ressource (282p, digital)
ISBN:
9783642109737
Series Statement:
C.I.M.E. Summer Schools 60
Content:
R.C. Bose: Graphs and designs -- R.H. Bruck: Construction problems in finite projective spaces -- R.H.F. Denniston: Packings of PG(3,q) -- J. Doyen: Recent results on Steiner triple systems -- H. Lüneburg: Gruppen und endliche projektive Ebenen -- J.A. Thas: 4-gonal configurations -- H.P. Young: Affine triple systems.
Content:
R.C. Bose: Graphs and designs.- R.H. Bruck: Construction problems in finite projective spaces.- R.H.F. Denniston: Packings of PG(3,q).- J. Doyen: Recent results on Steiner triple systems.- H. Lüneburg: Gruppen und endliche projektive Ebenen.- J.A. Thas: 4-gonal configurations.- H.P. Young: Affine triple systems.
Note:
Includes bibliographical references
,
Reprint of the 1st ed. C.I.M.E., ed. Cremonese, Roma, 1973
,
Finite Geometric Structures and their Applications; Copyright Page; Contents; Graphs and Designs; Chapter I Balanced Incomplete Block Designs; Chapter II Group Divisible Designs; Chapter III. Partially Balanced Designs and Association Schemes; Chapter IV Strongly Regular Graphs and Partial Geometries; Chapter V The Fundamental Characterization Theorem; Chapter VI Some Special Graphs; Chapter VII Graphs in which Each pair of vertices in Adjacent to the same Number d of Other Vertices; Chapter VIII Geometric and Pseudo Geometric Graphs (q2+1, q+1,1); Bibliography
,
Construction Problems in Finite Projective Spaces1. Spreads and packings of designs; 2. (k = 2.) Cliques. Complete symmetric graphs. Completeovals; 3. (k = 2 continued.) Construction of complements; 4. (k = 3.) Steiner triple systems; 5. (k = q or q +1.) Affine and projective spaces; 6. Regular spreads of PG(3,q). Constructions of packings; 7. Translation planes of order q2; 8. The higher dimensional cases; Bibliography; Packings of PG(3,q); Recent Results on Steiner Triple Systems; 1. Introduction; 2. Constructions; 3. Ieomorphisms; 4. Automorphisms; 5. Subsystsms; 6. Disjoint STS
,
ReferencesGruppen und endliche projektive Ebenen; 1. Projektive und affine Ebenen; 2. Translationeegenen; 3. Baer-Unterebenen; 4. Desargressche affine Ebenen von Quadratzahlordnung; 5. Ableitbare Netse; 6. Eine Charakterisierung der Hallebenen; Literatur; 4-Gonal Configurations; 1. All known 4-gonal configurations; 2, 4-gonal configurations of order n; References; Affine Triple Systems; 1. Matroids; 2. Coördinatization by Loops; 3. Hall Matroids; 4. Configuration Theorems; 5. Conclusion; References;
Additional Edition:
ISBN 9783642109720
Additional Edition:
Buchausg. u.d.T. Finite geometric structures and their applications Berlin : Springer, 2011 ISBN 9783642109720
Language:
English
Subjects:
Mathematics
Keywords:
Endliche Geometrie
;
Endliche Geometrie
;
Konferenzschrift
;
Konferenzschrift
DOI:
10.1007/978-3-642-10973-7
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(lizenzpflichtig)
