Surveys in Combinatorics 2017

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This book includes nine articles representing a timely snapshot of the state of the art in the different areas of combinatorics.

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Title Statements

Full title :Surveys in Combinatorics 2017.

Summary

This book includes nine articles representing a timely snapshot of the state of the art in the different areas of combinatorics.

Edition Statements

Publication Date:2017.

Publication Statements

Publisher(s):Cambridge University Press
Language:eng
Publication Date:2017.

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:1108348718, 9781108348713, 9781108354356, 1108354351, 9781108353151, 1108353150, 9781108332699, 1108332692, 9781108339094, 1108339093
oclc:ocn993693380
LC Classification:QA164
Dewey Decimal:511/.6

Cover; Series page; Title page; Copyright information; Table of contents; Preface; Relations among partitions; 1 Introduction; 2 Partitions on a finite set; 3 Refinement; 4 Orthogonality; 4.1 Definitions; 4.2 Orthogonal arrays; 4.3 Tjur block structures and orthogonal block structures; 4.4 Poset block structures; 5 Balance; 5.1 Combinatorial notions of balance; 5.2 Statistical notions of balance; 5.3 Balance between partitions; 6 Linear Models; 6.1 Fixed effects and random effects; 6.2 Partitions related by refinement; 6.2.1 Nested block designs; 6.2.2 Split-plot designs; 6.2.3 Simpler models.

7 Subspaces7.1 Two subspaces; 7.2 Three subspaces but no refinement relation; 7.2.1 Row-column designs; 7.2.2 Block designs for two non-interacting sets of treatments; 8 Adjusted orthogonality; 8.1 Definition and results; 8.2 Link with subspaces; 8.3 A little history; 8.4 Adjusting for more than one partition; 9 Adjusted balance; 9.1 Terminology; 9.2 General definition; 9.3 Balance with respect to a pair of partitions; 9.4 Three-way balance with pairwise balance; 10 Three partitions; 10.1 Supreme sets of uniform partitions; 10.2 Two partitions.

10.3 Three partitions: three orthogonal relat…