Anthony J. W. Hilton

According to our database, Anthony J. W. Hilton authored at least 89 papers between 1972 and 2022.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of two.

2022

On Completing Partial Latin Squares with Prescribed Diagonals.

Lars Døvling Andersen, Stacie Baumann, Anthony J. W. Hilton, Christopher A. Rodger

Electron. J. Comb., 2022

2019

Several families with incomparability and complementarity conditions.

John L. Goldwasser, Anthony J. W. Hilton, Jie Zheng

Discret. Appl. Math., 2019

2016

The pseudograph (r, s, a, t)-threshold number.

Anthony J. W. Hilton, Anitha Rajkumar

Discret. Appl. Math., 2016

2015

Hall's theorem and extending partial latinized rectangles.

John L. Goldwasser, Anthony J. W. Hilton, Dean G. Hoffman, Sibel Özkan

J. Comb. Theory A, 2015

2013

Wiggles and Finitely Discontinuous <i>k</i>-to-1 Functions Between Graphs.

John Baptist Gauci, Anthony J. W. Hilton, Dudley Stark

J. Graph Theory, 2013

2011

Completing partial latin squares: Cropper's question.

B. B. Bobga, John L. Goldwasser, Anthony J. W. Hilton, Peter D. Johnson Jr.

Australas. J Comb., 2011

2010

Continuous <i>k</i>-to-1 functions between complete graphs whose orders are of a different parity.

John Baptist Gauci, Anthony J. W. Hilton

J. Graph Theory, 2010

List multicoloring problems involving the <i>k</i>-fold Hall numbers.

Mathew Cropper, Anthony J. W. Hilton, Peter D. Johnson Jr., Jenö Lehel

J. Graph Theory, 2010

Degree-bounded factorizations of bipartite multigraphs and of pseudographs.

Anthony J. W. Hilton

Discret. Math., 2010

Continuous k-to-1 functions between complete graphs of even order.

J. Keith Dugdale, Stanley Fiorini, Anthony J. W. Hilton, John Baptist Gauci

Discret. Math., 2010

2009

On the number of (<i>r, r</i>+1)- factors in an (<i>r, r</i>+1)-factorization of a simple graph.

Anthony J. W. Hilton

J. Graph Theory, 2009

A generalization of Talbot's theorem about King Arthur and his Knights of the Round Table.

Anthony J. W. Hilton, C. L. Spencer

J. Comb. Theory A, 2009

An application of Tutte's Theorem to 1-factorization of regular graphs of high degree.

David Cariolaro, Anthony J. W. Hilton

Discret. Math., 2009

2008

(r, r+1)-factorizations of (d, d+1)-graphs.

Anthony J. W. Hilton

Discret. Math., 2008

2007

List multicolorings of graphs with measurable sets.

Anthony J. W. Hilton, Peter D. Johnson Jr.

J. Graph Theory, 2007

2006

Cycle decompositions of the complete graph.

Anthony J. W. Hilton, Matthew Johnson

Ars Comb., 2006

2005

Amalgamating infinite latin squares.

Anthony J. W. Hilton, Jerzy Wojciechowski

Discret. Math., 2005

Two sufficient conditions for a graph to be type 1.

Jianliang Wu, Ping Wang, Anthony J. W. Hilton

Ars Comb., 2005

2004

Amalgamations of factorizations of complete equipartite graphs.

Anthony J. W. Hilton, Matthew Johnson

Discret. Math., 2004

2003

An algorithm for finding factorizations of complete graphs.

Anthony J. W. Hilton, Matthew Johnson

J. Graph Theory, 2003

Hamiltonian double latin squares.

Anthony J. W. Hilton, Michael E. Mays, Christopher A. Rodger, Crispin St. John Alvah Nash-Williams

J. Comb. Theory B, 2003

Amalgamations of connected k-factorizations.

Anthony J. W. Hilton, Matthew Johnson, Christopher A. Rodger, Evan B. Wantland

J. Comb. Theory B, 2003

The structure of totally critical graphs of odd order.

J. Keith Dugdale, Anthony J. W. Hilton

Discret. Math., 2003

The total chromatic numbers of joins of sparse graphs.

Anthony J. W. Hilton, Jiping Liu, Cheng Zhao

Australas. J Comb., 2003

2002

Hall parameters of complete and complete bipartite graphs.

Mathew Cropper, Anthony J. W. Hilton

J. Graph Theory, 2002

Non-conformable subgraphs of non-conformable graphs.

Anthony J. W. Hilton, H. R. Hind

Discret. Math., 2002

2001

Aspects of edge list-colourings.

Anthony J. W. Hilton, Tomaz Slivnik, David S. G. Stirling

Discret. Math., 2001

The Overfull Conjecture and the Conformability Conjecture.

Anthony J. W. Hilton, Fred C. Holroyd, Cheng Zhao

Discret. Math., 2001

Relations among the fractional chromatic, choice, Hall, and Hall-condition numbers of simple graphs.

Amir Daneshgar, Anthony J. W. Hilton, Peter D. Johnson Jr.

Discret. Math., 2001

2000

Extending the disjoint-representatives theorems of Hall, Halmos, and Vaughan to list-multicolorings of graphs.

Matthew M. Cropper, John L. Goldwasser, Anthony J. W. Hilton, Dean G. Hoffman, Peter D. Johnson Jr.

J. Graph Theory, 2000

A Sufficient Condition For A Graph To Be The Core Of A Class 2 Graph.

J. Keith Dugdale, Anthony J. W. Hilton

Comb. Probab. Comput., 2000

Progress on the Hall-Number-Two problem.

Changiz Eslahchi, Anthony J. W. Hilton, Peter D. Johnson Jr.

Australas. J Comb., 2000

1999

Totally Critical Even Order Graphs.

G. M. Hamilton, Anthony J. W. Hilton, H. R. F. Hind

J. Comb. Theory B, 1999

The Hall Number, the Hall Index, and the Total Hall Number of a Graph.

Anthony J. W. Hilton, Peter D. Johnson Jr.

Discret. Appl. Math., 1999

1998

A Vertex-Splitting Lemma, de Werra's Theorem, and Improper List Colourings.

Anthony J. W. Hilton, David S. G. Stirling, Tomaz Slivnik

J. Comb. Theory B, 1998

1997

Coloring graphs which have equibipartite complements.

Anthony J. W. Hilton, C. Zhao

J. Graph Theory, 1997

Triangulations of 3-way regular tripartite graphs of degree 4, with applications to orthogonal latin squares.

Lars Døvling Andersen, Anthony J. W. Hilton

Discret. Math., 1997

Vertex-splitting and Chromatic Index Critical Graphs.

Anthony J. W. Hilton, C. Zhao

Discret. Appl. Math., 1997

1996

At most k-to-1 mappings between graphs, II.

Jo Heath, Anthony J. W. Hilton

Discret. Math., 1996

Graphs That Admit 3-to-1 or 2-to-1 Maps onto the Circle.

Anthony J. W. Hilton, Jiping Liu, Cheng Zhao

Discret. Appl. Math., 1996

1995

Disconnection numbers, pizza cuts, and cycle rank.

Anthony J. W. Hilton, J. Keith Dugdale

Ars Comb., 1995

1994

A sufficient condition for equitable edge-colourings of simple graphs.

Anthony J. W. Hilton, Dominique de Werra

Discret. Math., 1994

The total chromatic number of regular graphs whose complement is bipartite.

J. Keith Dugdale, Anthony J. W. Hilton

Discret. Math., 1994

Amalgemated Factorizations of Complete Graphs.

J. Keith Dugdale, Anthony J. W. Hilton

Comb. Probab. Comput., 1994

1993

A sufficient condition for a regular graph to be class 1.

Anthony J. W. Hilton, Cheng Zhao

J. Graph Theory, 1993

The existence of <i>k</i>-to-1 continuous maps between graphs when <i>k</i> is sufficiently large.

Anthony J. W. Hilton

J. Graph Theory, 1993

The total chromatic number of graphs having large maximum degree.

Anthony J. W. Hilton, H. R. Hind

Discret. Math., 1993

Recent results on the total chromatic number.

Anthony J. W. Hilton

Discret. Math., 1993

1992

Alternating hamiltonian cycles in two colored complete bipartite graphs.

Amanda G. Chetwynd, Anthony J. W. Hilton

J. Graph Theory, 1992

The chromatic index of a graph whose core has maximum degree two.

Anthony J. W. Hilton, Cheng Zhao

Discret. Math., 1992

Alternating Hamiltonian circuits in edge-coloured bipartite graphs.

Anthony J. W. Hilton

Discret. Appl. Math., 1992

1991

The embedding of partial triple systems when 4 divides lambda.

Anthony J. W. Hilton, Christopher A. Rodger

J. Comb. Theory A, 1991

The total chromatic number of nearly complete bipartite graphs.

Anthony J. W. Hilton

J. Comb. Theory B, 1991

Outline symmetric latin squares.

Amanda G. Chetwynd, Anthony J. W. Hilton

Discret. Math., 1991

1990

Trees that admit 3-to-1 maps onto the circle.

Jo Heath, Anthony J. W. Hilton

J. Graph Theory, 1990

On the maximum number of pairwise compatible euler cycles.

Herbert Fleischner, Anthony J. W. Hilton, Bill Jackson

J. Graph Theory, 1990

The chromatic index of graphs with large maximum degree, where the number of vertices of maximum degree is relatively small.

Amanda G. Chetwynd, Anthony J. W. Hilton

J. Comb. Theory B, 1990

A total-chromatic number analogue of plantholt's theorem.

Anthony J. W. Hilton

Discret. Math., 1990

1989

On the Delta-subgraph of graphs which are critical with respect to the chromatic index.

Amanda G. Chetwynd, Anthony J. W. Hilton, Dean G. Hoffman

J. Comb. Theory B, 1989

A Delta-subgraph condition for a graph to be class 1.

Amanda G. Chetwynd, Anthony J. W. Hilton

J. Comb. Theory B, 1989

Two conjectures on edge-colouring.

Anthony J. W. Hilton

Discret. Math., 1989

1-factorizing regular graphs of high degree - an improved bound.

Amanda G. Chetwynd, Anthony J. W. Hilton

Discret. Math., 1989

1988

Reverse class critical multigraphs.

Anthony J. W. Hilton, Peter D. Johnson Jr.

Discret. Math., 1988

1987

A note concerning the chromatic index of multigraphs.

Anthony J. W. Hilton, Bill Jackson

J. Graph Theory, 1987

Recent progress on edge-colouring graphs.

Anthony J. W. Hilton

Discret. Math., 1987

The edge-chromatic class of regular graphs of degree 4 and their complements.

Amanda G. Chetwynd, Anthony J. W. Hilton

Discret. Appl. Math., 1987

1986

Critical star multigraphs.

Amanda G. Chetwynd, Anthony J. W. Hilton

Graphs Comb., 1986

Hamiltonian decompositions of complete regular s-partite graphs.

Anthony J. W. Hilton, Christopher A. Rodger

Discret. Math., 1986

1985

Factorizations of regular graphs of high degree.

Anthony J. W. Hilton

J. Graph Theory, 1985

1984

The chromatic index of graphs of even order with many edges.

Amanda G. Chetwynd, Anthony J. W. Hilton

J. Graph Theory, 1984

Hamiltonian decompositions of complete graphs.

Anthony J. W. Hilton

J. Comb. Theory B, 1984

1983

Pairings from Down-Sets and Up-Sets in Distributive Lattices.

David E. Daykin, Anthony J. W. Hilton, D. Miklós

J. Comb. Theory A, 1983

Doubly diagonal orthogonal latin squares.

Katherine Heinrich, Anthony J. W. Hilton

Discret. Math., 1983

1982

Canonical edge-colourings of locally finite graphs.

Anthony J. W. Hilton

Comb., 1982

1980

Embedding Incomplete Latin Squares in Latin Squares Whose Diagonal is Almost Completely Prescribed.

Lars Døvling Andersen, Roland Häggkvist, Anthony J. W. Hilton, William B. Poucher

Eur. J. Comb., 1980

Generalized latin rectangles II: Embedding.

Lars Døvling Andersen, Anthony J. W. Hilton

Discret. Math., 1980

Generalized Latin rectangles I: Construction and decomposition.

Lars Døvling Andersen, Anthony J. W. Hilton

Discret. Math., 1980

1979

Some Results on Sperner Families.

C. Greene, Anthony J. W. Hilton

J. Comb. Theory A, 1979

1978

Further remarks on partitioning the edges of a graph.

Anthony J. W. Hilton, Rhys Price Jones

J. Comb. Theory B, 1978

Partitioning the edges of a graph.

Anthony J. W. Hilton, Rhys Price Jones

J. Comb. Theory B, 1978

1976

Further results concerning p-quasigroups and complete graph decompositions.

Anthony J. W. Hilton, A. Donald Keedwell

Discret. Math., 1976

1975

On the Spectra of Certain Types of Latin Square.

D. J. Crampin, Anthony J. W. Hilton

J. Comb. Theory A, 1975

Remarks on Sade's Disproof of the Euler Conjecture with an Application to Latin Squares Orthogonal to Their Transpose.

D. J. Crampin, Anthony J. W. Hilton

J. Comb. Theory A, 1975

Embedding incomplete double diagonal Latin squares.

Anthony J. W. Hilton

Discret. Math., 1975

1974

How to colour the lines of a bigraph.

Dennis P. Geller, Anthony J. W. Hilton

Networks, 1974

Existence Theorems for Sperner Families.

David E. Daykin, Jean Godfrey, Anthony J. W. Hilton

J. Comb. Theory A, 1974

A further construction of double diagonal orthogonal latin squares.

Anthony J. W. Hilton, S. H. Scott

Discret. Math., 1974

1973

Embedding an Incomplete Diagonal Latin Square in a Complete Diagonal Latin Square.

Anthony J. W. Hilton

J. Comb. Theory A, 1973

1972

A Simplification of Moore's Proof of the Existence of Steiner Triple Systems.

Anthony J. W. Hilton

J. Comb. Theory A, 1972