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Hall's theorem and extending partial Latinized rectangles
J.L. Goldwasser
,
A.J.W. Hilton
,
D.G. Hoffman
,
Sibel Özkan
Journal of Combinatorial Theory Series A
130
, 2015, pp. 26-41
A generalization of Talbot's theorem about King Arthur and his Knights of the Round Table
A.J.W. Hilton
,
C.L. Spencer
Journal of Combinatorial Theory Series A
116
(5), 2009, pp. 1023-1033
On the number of
(r,r+1)
-factors in an
(r,r+1)
-factorization of a simple graph
A.J.W. Hilton
Journal of Graph Theory
60
(4), 2009, pp. 257-268
List multicolorings of graphs with measurable sets
A.J.W. Hilton
,
P.D., Jr. Johnson
Journal of Graph Theory
54
(3), 2007, pp. 179-193
Amalgamations of connected
k
-factorizations
A.J.W. Hilton
,
Matthew Johnson
,
C.A. Rodger
,
E.B. Wantland
Journal of Combinatorial Theory Series B
88
(2), 2003, pp. 267-279
An algorithm for finding factorizations of complete graphs
A.J.W. Hilton
,
Matthew Johnson
Journal of Graph Theory
43
(2), 2003, pp. 132-136
Hamiltonian double Latin squares
A.J.W. Hilton
,
M. Mays
,
C.A. Rodger
,
C.St.J.A. Nash-Williams
Journal of Combinatorial Theory Series B
87
(1), 2003, pp. 81-129
Hall parameters of complete and complete bipartite graphs
M.M. Cropper
,
A.J.W. Hilton
Journal of Graph Theory
41
(3), 2002, pp. 208-237
Extending the disjoint-representatives theorems of Hall, Halmos, and Vaughan to list-multicolorings of graphs
M.M. Cropper
,
J.L. Goldwasser
,
A.J.W. Hilton
,
D.G. Hoffman
,
P.D., Jr. Johnson
Journal of Graph Theory
33
(4), 2000, pp. 199-219
Totally critical even order graphs
G.M. Hamilton
,
A.J.W. Hilton
,
H.R.F. Hind
Journal of Combinatorial Theory Series B
76
(2), 1999, pp. 262-279
The Hall number, the Hall index, and the total Hall number of a graph
A.J.W. Hilton
,
P.D., Jr. Johnson
Discrete Applied Mathematics
94
(1-3), 1999, pp. 227-245
A vertex-splitting lemma, de Werra's theorem, and improper list colourings
A.J.W. Hilton
,
D.S.G. Stirling
,
T. Slivnik
Journal of Combinatorial Theory Series B
72
(1), 1998, pp. 91-103
Vertex-splitting and chromatic index critical graphs
A.J.W. Hilton
,
C. Zhao
Discrete Applied Mathematics
76
(1-3), 1997, pp. 205-211
Coloring graphs which have equibipartite complements
A.J.W. Hilton
,
C. Zhao
Journal of Graph Theory
26
(4), 1997, pp. 183-194
Graphs that admit 3-to-1 or 2-to-1 maps onto the circle
A.J.W. Hilton
,
J.P. Liu
,
C. Zhao
Discrete Applied Mathematics
65
(1-3), 1996, pp. 347-377
The total chromatic number of graphs having large maximum degree
A.J.W. Hilton
,
H.R. Hind
Discrete Mathematics
117
(1-3), 1993, pp. 127-140
A sufficient condition for a regular graph to be class 1
A.J.W. Hilton
,
Cheng Zhao
Journal of Graph Theory
17
(6), 1993, pp. 701-712
The existence of
k
-to-1 continuous maps between graphs when
k
is sufficiently large
A.J.W. Hilton
Journal of Graph Theory
17
(4), 1993, pp. 443-461
Alternating Hamiltonian cycles in two colored complete bipartite graphs
A.G. Chetwynd
,
A.J.W. Hilton
Journal of Graph Theory
16
(2), 1992, pp. 153-158
Alternating Hamiltonian circuits in edge-coloured bipartite graphs
A.J.W. Hilton
Discrete Applied Mathematics
35
, 1992, pp. 271-273
The embedding of partial triple systems when 4 divides
\lambda
A.J.W. Hilton
,
C.A. Rodger
Journal of Combinatorial Theory Series A
56
, 1991, pp. 109-137
The total chromatic number of nearly complete bipartite graphs
A.J.W. Hilton
Journal of Combinatorial Theory Series B
52
, 1991, pp. 9-19
The chromatic index of graphs with large maximum degree, where the number of vertices of maximum degree is relatively small
A.G. Chetwynd
,
A.J.W. Hilton
Journal of Combinatorial Theory Series B
48
, 1990, pp. 45-66
On the maxiimum number of pairwise compatible Euler cycles
H. Fleischner
,
A.J.W. Hilton
,
Bill Jackson
Journal of Graph Theory
14
(1), 1990, pp. 51-63
Trees that admit 3-to-1 maps onto the circle
Jo Heath
,
A.J.W. Hilton
Journal of Graph Theory
14
(3), 1990, pp. 311-320
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