Anthony J. W. Hilton

Publication Activity (10 Years)

Years Active: 1972-2022
Publications (10 Years): 4

Top Topics

Partial Information

Objective Function

Top Venues

Discret. Appl. Math.

Electron. J. Comb.

J. Comb. Theory, Ser. A

J. Graph Theory

Publications

Lars Døvling Andersen, Stacie Baumann, Anthony J. W. Hilton, Christopher A. Rodger
On Completing Partial Latin Squares with Prescribed Diagonals. Electron. J. Comb. 29 (3) (2022)
John L. Goldwasser, Anthony J. W. Hilton, Jie Zheng
Several families with incomparability and complementarity conditions. Discret. Appl. Math. 266 (2019)
Anthony J. W. Hilton, Anitha Rajkumar
The pseudograph (r, s, a, t)-threshold number. Discret. Appl. Math. 209 (2016)
John L. Goldwasser, Anthony J. W. Hilton, Dean G. Hoffman, Sibel Özkan
Hall's theorem and extending partial latinized rectangles. J. Comb. Theory, Ser. A 130 (2015)
John Baptist Gauci, Anthony J. W. Hilton, Dudley Stark
-to-1 Functions Between Graphs. J. Graph Theory 74 (3) (2013)
B. B. Bobga, John L. Goldwasser, Anthony J. W. Hilton, Peter D. Johnson Jr.
Completing partial latin squares: Cropper's question. Australas. J Comb. 49 (2011)
John Baptist Gauci, Anthony J. W. Hilton
-to-1 functions between complete graphs whose orders are of a different parity. J. Graph Theory 65 (1) (2010)
Mathew Cropper, Anthony J. W. Hilton, Peter D. Johnson Jr., Jenö Lehel
-fold Hall numbers. J. Graph Theory 65 (1) (2010)
Anthony J. W. Hilton
Degree-bounded factorizations of bipartite multigraphs and of pseudographs. Discret. Math. 310 (2) (2010)
J. Keith Dugdale, Stanley Fiorini, Anthony J. W. Hilton, John Baptist Gauci
Continuous k-to-1 functions between complete graphs of even order. Discret. Math. 310 (2) (2010)
David Cariolaro, Anthony J. W. Hilton
An application of Tutte's Theorem to 1-factorization of regular graphs of high degree. Discret. Math. 309 (14) (2009)
Anthony J. W. Hilton, C. L. Spencer
A generalization of Talbot's theorem about King Arthur and his Knights of the Round Table. J. Comb. Theory, Ser. A 116 (5) (2009)
Anthony J. W. Hilton
+1)-factorization of a simple graph. J. Graph Theory 60 (4) (2009)
Anthony J. W. Hilton
(r, r+1)-factorizations of (d, d+1)-graphs. Discret. Math. 308 (5-6) (2008)
Anthony J. W. Hilton, Peter D. Johnson Jr.
List multicolorings of graphs with measurable sets. J. Graph Theory 54 (3) (2007)
Anthony J. W. Hilton, Matthew Johnson
Cycle decompositions of the complete graph. Ars Comb. 81 (2006)
Jianliang Wu, Ping Wang, Anthony J. W. Hilton
Two sufficient conditions for a graph to be type 1. Ars Comb. 76 (2005)
Anthony J. W. Hilton, Jerzy Wojciechowski
Amalgamating infinite latin squares. Discret. Math. 292 (1-3) (2005)
Anthony J. W. Hilton, Matthew Johnson
Amalgamations of factorizations of complete equipartite graphs. Discret. Math. 284 (1-3) (2004)
Anthony J. W. Hilton, Matthew Johnson
An algorithm for finding factorizations of complete graphs. J. Graph Theory 43 (2) (2003)
Anthony J. W. Hilton, Jiping Liu, Cheng Zhao
The total chromatic numbers of joins of sparse graphs. Australas. J Comb. 28 (2003)
J. Keith Dugdale, Anthony J. W. Hilton
The structure of totally critical graphs of odd order. Discret. Math. 266 (1-3) (2003)
Anthony J. W. Hilton, Matthew Johnson, Christopher A. Rodger, Evan B. Wantland
Amalgamations of connected k-factorizations. J. Comb. Theory, Ser. B 88 (2) (2003)
Anthony J. W. Hilton, Michael E. Mays, Christopher A. Rodger, C. St. J. A. Nash-Williams
Hamiltonian double latin squares. J. Comb. Theory, Ser. B 87 (1) (2003)
Anthony J. W. Hilton, H. R. Hind
Non-conformable subgraphs of non-conformable graphs. Discret. Math. 256 (1-2) (2002)
Mathew Cropper, Anthony J. W. Hilton
Hall parameters of complete and complete bipartite graphs. J. Graph Theory 41 (3) (2002)
Anthony J. W. Hilton, Tomaz Slivnik, David S. G. Stirling
Aspects of edge list-colourings. Discret. Math. 231 (1-3) (2001)
Anthony J. W. Hilton, Fred C. Holroyd, Cheng Zhao
The Overfull Conjecture and the Conformability Conjecture. Discret. Math. 241 (1-3) (2001)
Amir Daneshgar, Anthony J. W. Hilton, Peter D. Johnson Jr.
Relations among the fractional chromatic, choice, Hall, and Hall-condition numbers of simple graphs. Discret. Math. 241 (1-3) (2001)
Matthew M. Cropper, John L. Goldwasser, Anthony J. W. Hilton, Dean G. Hoffman, Peter D. Johnson Jr.
Extending the disjoint-representatives theorems of Hall, Halmos, and Vaughan to list-multicolorings of graphs. J. Graph Theory 33 (4) (2000)
J. Keith Dugdale, Anthony J. W. Hilton
A Sufficient Condition For A Graph To Be The Core Of A Class 2 Graph. Comb. Probab. Comput. 9 (2) (2000)
Changiz Eslahchi, Anthony J. W. Hilton, Peter D. Johnson Jr.
Progress on the Hall-Number-Two problem. Australas. J Comb. 21 (2000)
G. M. Hamilton, Anthony J. W. Hilton, H. R. F. Hind
Totally Critical Even Order Graphs. J. Comb. Theory, Ser. B 76 (2) (1999)
Anthony J. W. Hilton, Peter D. Johnson Jr.
The Hall Number, the Hall Index, and the Total Hall Number of a Graph. Discret. Appl. Math. 94 (1-3) (1999)
Anthony J. W. Hilton, David S. G. Stirling, Tomaz Slivnik
A Vertex-Splitting Lemma, de Werra's Theorem, and Improper List Colourings. J. Comb. Theory, Ser. B 72 (1) (1998)
Anthony J. W. Hilton, C. Zhao
Coloring graphs which have equibipartite complements. J. Graph Theory 26 (4) (1997)
Lars Døvling Andersen, Anthony J. W. Hilton
Triangulations of 3-way regular tripartite graphs of degree 4, with applications to orthogonal latin squares. Discret. Math. (1997)
Anthony J. W. Hilton, C. Zhao
Vertex-splitting and Chromatic Index Critical Graphs. Discret. Appl. Math. 76 (1-3) (1997)
Jo Heath, Anthony J. W. Hilton
At most k-to-1 mappings between graphs, II. Discret. Math. 154 (1-3) (1996)
Anthony J. W. Hilton, Jiping Liu, Cheng Zhao
Graphs That Admit 3-to-1 or 2-to-1 Maps onto the Circle. Discret. Appl. Math. 65 (1-3) (1996)
Anthony J. W. Hilton, J. Keith Dugdale
Disconnection numbers, pizza cuts, and cycle rank. Ars Comb. 40 (1995)
Anthony J. W. Hilton, Dominique de Werra
A sufficient condition for equitable edge-colourings of simple graphs. Discret. Math. 128 (1-3) (1994)
J. Keith Dugdale, Anthony J. W. Hilton
Amalgemated Factorizations of Complete Graphs. Comb. Probab. Comput. 3 (1994)
J. Keith Dugdale, Anthony J. W. Hilton
The total chromatic number of regular graphs whose complement is bipartite. Discret. Math. 126 (1-3) (1994)
Anthony J. W. Hilton, H. R. Hind
The total chromatic number of graphs having large maximum degree. Discret. Math. 117 (1-3) (1993)
Anthony J. W. Hilton
Recent results on the total chromatic number. Discret. Math. 111 (1-3) (1993)
Anthony J. W. Hilton
is sufficiently large. J. Graph Theory 17 (4) (1993)
Anthony J. W. Hilton, Cheng Zhao
A sufficient condition for a regular graph to be class 1. J. Graph Theory 17 (6) (1993)
Anthony J. W. Hilton, Cheng Zhao
The chromatic index of a graph whose core has maximum degree two. Discret. Math. 101 (1-3) (1992)
Anthony J. W. Hilton
Alternating Hamiltonian circuits in edge-coloured bipartite graphs. Discret. Appl. Math. 35 (3) (1992)
Amanda G. Chetwynd, Anthony J. W. Hilton
Alternating hamiltonian cycles in two colored complete bipartite graphs. J. Graph Theory 16 (2) (1992)
Anthony J. W. Hilton, Christopher A. Rodger
The embedding of partial triple systems when 4 divides lambda. J. Comb. Theory, Ser. A 56 (1) (1991)
Amanda G. Chetwynd, Anthony J. W. Hilton
Outline symmetric latin squares. Discret. Math. 97 (1-3) (1991)
Anthony J. W. Hilton
The total chromatic number of nearly complete bipartite graphs. J. Comb. Theory, Ser. B 52 (1) (1991)
Jo Heath, Anthony J. W. Hilton
Trees that admit 3-to-1 maps onto the circle. J. Graph Theory 14 (3) (1990)
Amanda G. Chetwynd, Anthony J. W. Hilton
The chromatic index of graphs with large maximum degree, where the number of vertices of maximum degree is relatively small. J. Comb. Theory, Ser. B 48 (1) (1990)
Herbert Fleischner, Anthony J. W. Hilton, Bill Jackson
On the maximum number of pairwise compatible euler cycles. J. Graph Theory 14 (1) (1990)
Anthony J. W. Hilton
A total-chromatic number analogue of plantholt's theorem. Discret. Math. 79 (2) (1990)
Amanda G. Chetwynd, Anthony J. W. Hilton
A Delta-subgraph condition for a graph to be class 1. J. Comb. Theory, Ser. B 46 (1) (1989)
Amanda G. Chetwynd, Anthony J. W. Hilton, Dean G. Hoffman
On the Delta-subgraph of graphs which are critical with respect to the chromatic index. J. Comb. Theory, Ser. B 46 (2) (1989)
Amanda G. Chetwynd, Anthony J. W. Hilton
1-factorizing regular graphs of high degree - an improved bound. Discret. Math. 75 (1-3) (1989)
Anthony J. W. Hilton
Two conjectures on edge-colouring. Discret. Math. 74 (1-2) (1989)
Anthony J. W. Hilton, Peter D. Johnson Jr.
Reverse class critical multigraphs. Discret. Math. 69 (3) (1988)
Anthony J. W. Hilton, Bill Jackson
A note concerning the chromatic index of multigraphs. J. Graph Theory 11 (3) (1987)
Anthony J. W. Hilton
Recent progress on edge-colouring graphs. Discret. Math. 64 (2-3) (1987)
Amanda G. Chetwynd, Anthony J. W. Hilton
The edge-chromatic class of regular graphs of degree 4 and their complements. Discret. Appl. Math. 16 (2) (1987)
Amanda G. Chetwynd, Anthony J. W. Hilton
Critical star multigraphs. Graphs Comb. 2 (1) (1986)
Anthony J. W. Hilton, Christopher A. Rodger
Hamiltonian decompositions of complete regular s-partite graphs. Discret. Math. 58 (1) (1986)
Anthony J. W. Hilton
Factorizations of regular graphs of high degree. J. Graph Theory 9 (1) (1985)
Amanda G. Chetwynd, Anthony J. W. Hilton
The chromatic index of graphs of even order with many edges. J. Graph Theory 8 (4) (1984)
Anthony J. W. Hilton
Hamiltonian decompositions of complete graphs. J. Comb. Theory, Ser. B 36 (2) (1984)
David E. Daykin, Anthony J. W. Hilton, D. Miklós
Pairings from Down-Sets and Up-Sets in Distributive Lattices. J. Comb. Theory, Ser. A 34 (2) (1983)
Katherine Heinrich, Anthony J. W. Hilton
Doubly diagonal orthogonal latin squares. Discret. Math. 46 (2) (1983)
Anthony J. W. Hilton
Canonical edge-colourings of locally finite graphs. Comb. 2 (1) (1982)
Lars Døvling Andersen, Anthony J. W. Hilton
Generalized Latin rectangles I: Construction and decomposition. Discret. Math. 31 (2) (1980)
Lars Døvling Andersen, Anthony J. W. Hilton
Generalized latin rectangles II: Embedding. Discret. Math. 31 (3) (1980)
Lars Døvling Andersen, Roland Häggkvist, Anthony J. W. Hilton, William B. Poucher
Embedding Incomplete Latin Squares in Latin Squares Whose Diagonal is Almost Completely Prescribed. Eur. J. Comb. 1 (1) (1980)
C. Greene, Anthony J. W. Hilton
Some Results on Sperner Families. J. Comb. Theory, Ser. A 26 (2) (1979)
Anthony J. W. Hilton, Rhys Price Jones
Further remarks on partitioning the edges of a graph. J. Comb. Theory, Ser. B 24 (2) (1978)
Anthony J. W. Hilton, Rhys Price Jones
Partitioning the edges of a graph. J. Comb. Theory, Ser. B 25 (3) (1978)
Anthony J. W. Hilton, A. Donald Keedwell
Further results concerning p-quasigroups and complete graph decompositions. Discret. Math. 14 (4) (1976)
D. J. Crampin, Anthony J. W. Hilton
On the Spectra of Certain Types of Latin Square. J. Comb. Theory, Ser. A 19 (1) (1975)
Anthony J. W. Hilton
Embedding incomplete double diagonal Latin squares. Discret. Math. 12 (3) (1975)
D. J. Crampin, Anthony J. W. Hilton
Remarks on Sade's Disproof of the Euler Conjecture with an Application to Latin Squares Orthogonal to Their Transpose. J. Comb. Theory, Ser. A 18 (1) (1975)
David E. Daykin, Jean Godfrey, Anthony J. W. Hilton
Existence Theorems for Sperner Families. J. Comb. Theory, Ser. A 17 (2) (1974)
Anthony J. W. Hilton, S. H. Scott
A further construction of double diagonal orthogonal latin squares. Discret. Math. 7 (1-2) (1974)
Dennis P. Geller, Anthony J. W. Hilton
How to colour the lines of a bigraph. Networks 4 (3) (1974)
Anthony J. W. Hilton
Embedding an Incomplete Diagonal Latin Square in a Complete Diagonal Latin Square. J. Comb. Theory, Ser. A 15 (2) (1973)
Anthony J. W. Hilton
A Simplification of Moore's Proof of the Existence of Steiner Triple Systems. J. Comb. Theory, Ser. A 13 (3) (1972)