• 1
Book

• 2
Book
...Permutation groups are one of the oldest topics in algebra. However, their study has recently been revolutionised by new developments, particularly the...

• 3
Book
...Combinatorics is a subject of increasing importance, owing to its links with computer science, statistics and algebra. This is a textbook aimed at second-year...

• 4
eBook
by Cameron, Peter J
21.06.2017
...Enumerative combinatorics, in its algebraic and analytic forms, is vital to many areas of mathematics, from model theory to statistical mechanics. This book,...
• 5
Journal Article
...Given a graph on vertices, for which is it possible to partition the edge set of the -fold complete graph into copies of ? We show that there is an integer ,...

• 6
Journal Article
...Instructions for solving Sudoku puzzles often say "There's no math involved; you solve the puzzle with reasoning and logic." We refute this by showing how...

• 7
Book
...The study of permutation groups has always been closely associated with that of highly symmetric structures. The objects considered here are countably...

• 8
Book

• 9
Book
...There is no other book with such a wide scope of both areas of algebraic graph theory...

• 10
Journal Article
...AbstractLet G be a group. The power graph of G is a graph with vertex set G in which two distinct elements x, y are adjacent if one of them is a power of the...
• 11
Journal Article
by Adam-Day, Bea   Cameron, Peter J Published in Aequationes mathematicae (01.04.2021)
...Keywords: ErdAs--Renyi random graph; Zermelo--Fraenkel axioms; Anti-Foundation Axiom It is known that, if we take a countable model of Zermelo--Fraenkel set...
• 12
Journal Article
...This paper addresses the question of whether triple arrays can be constructed from Youden squares developed from difference sets. We prove that if the...

• 13
Journal Article
...Byline: Peter J. Cameron (1), Horacio Guerra (1,2), Simon Jurina (1) Keywords: Power graph; Directed power graph; Torsion-free group; 05C25; 20F99 The power...

• 14
Book
...Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of...
• 15
Book

• 16
Journal Article
...Byline: Peter J. Cameron (1,2), Josephine Kusuma (1), Patrick Sole (3,4) Keywords: Commutative ring; Code; Lee weight; Orthogonal array; Gray map; 05B15; 94B05...

• 17
Journal Article
...An integral of a group G is a group H whose derived group (commutator subgroup) is isomorphic to G. This paper discusses integrals of groups, and in particular...
• 18
Journal Article
...AbstractSquare lattice designs are often used in trials of new varieties of various agricultural crops. However, there are no square lattice designs for 36...
• 19
Journal Article
...We consider designs for cancer trials which allow each medical centre to treat only a limited number of cancer types with only a limited number of drugs. We...

• 20
Book