Ebook: Combinatorial Mathematics X: Proceedings of the Conference held in Adelaide, Australia, August 23–27, 1982

---

Content:
Front Matter....Pages -
Hamiltonian cayley graphs of order PQ....Pages 1-5
The weil conjectures in finite geometry....Pages 6-23
Cycles in graphs....Pages 24-48
Sequenceable groups, generalized complete mappings, neofields and block designs....Pages 49-71
Clique coverings of graphs — A survey....Pages 72-85
Room squares and subsquares....Pages 86-95
Geometries in finite projective spaces : Recent results....Pages 96-110
A canonical form for incidence matrices of finite projective planes and their associated latin squares and planar ternary rings....Pages 111-120
On clique covering numbers of cubic graphs....Pages 121-127
Modelling competitions by poset multiplication....Pages 128-140
Decomposition of block designs: Computational issues....Pages 141-146
A combinatorial problem and the generalized cosh....Pages 147-153
Generalised hadamard matrices whose rows and columns form a group....Pages 154-176
The asymptotic connectivity of labelled coloured regular bipartite graphs....Pages 177-188
Kronecker products of systems of orthogonal designs....Pages 189-205
Kronecker products of systems of higher dimensional orthogonal designs....Pages 206-216
Two new sequences of ovals in finite desarguesian planes of even order....Pages 217-229
Stochastic processes and combinatoric identities....Pages 230-243
Families enumerated by the schr?der-etherington sequence and a renewal array it generates....Pages 244-274
Classifying and enumerating some freely generated families of objects....Pages 275-304
Composite graphs with edge stability index one....Pages 305-315
A number-theoretical note on Cornish's paper....Pages 316-318
On the automorphisms of rooted trees with height distributions....Pages 319-334
On partially transitive planes of hughes type (6,m)....Pages 335-354
Embedding incomplete idempotent latin squares....Pages 355-366
The completion of partial f-squares....Pages 367-374
Baer subspaces in the n dimensional projective space....Pages 375-391
Distribution of labelled trees by diameter....Pages 392-397
Orthogonal latin squares with small subsquares....Pages 398-409
k-sets of (n?1)-dimensional subspaces of PG(3n?1,q)....Pages 410-416
Subtrees of large tournaments....Pages 417-419

---

Content:
Front Matter....Pages -
Hamiltonian cayley graphs of order PQ....Pages 1-5
The weil conjectures in finite geometry....Pages 6-23
Cycles in graphs....Pages 24-48
Sequenceable groups, generalized complete mappings, neofields and block designs....Pages 49-71
Clique coverings of graphs — A survey....Pages 72-85
Room squares and subsquares....Pages 86-95
Geometries in finite projective spaces : Recent results....Pages 96-110
A canonical form for incidence matrices of finite projective planes and their associated latin squares and planar ternary rings....Pages 111-120
On clique covering numbers of cubic graphs....Pages 121-127
Modelling competitions by poset multiplication....Pages 128-140
Decomposition of block designs: Computational issues....Pages 141-146
A combinatorial problem and the generalized cosh....Pages 147-153
Generalised hadamard matrices whose rows and columns form a group....Pages 154-176
The asymptotic connectivity of labelled coloured regular bipartite graphs....Pages 177-188
Kronecker products of systems of orthogonal designs....Pages 189-205
Kronecker products of systems of higher dimensional orthogonal designs....Pages 206-216
Two new sequences of ovals in finite desarguesian planes of even order....Pages 217-229
Stochastic processes and combinatoric identities....Pages 230-243
Families enumerated by the schr?der-etherington sequence and a renewal array it generates....Pages 244-274
Classifying and enumerating some freely generated families of objects....Pages 275-304
Composite graphs with edge stability index one....Pages 305-315
A number-theoretical note on Cornish's paper....Pages 316-318
On the automorphisms of rooted trees with height distributions....Pages 319-334
On partially transitive planes of hughes type (6,m)....Pages 335-354
Embedding incomplete idempotent latin squares....Pages 355-366
The completion of partial f-squares....Pages 367-374
Baer subspaces in the n dimensional projective space....Pages 375-391
Distribution of labelled trees by diameter....Pages 392-397
Orthogonal latin squares with small subsquares....Pages 398-409
k-sets of (n?1)-dimensional subspaces of PG(3n?1,q)....Pages 410-416
Subtrees of large tournaments....Pages 417-419
....