Barnaby Roberts

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All published works

Action	Title	Year	Authors
+ PDF Chat	The Ramsey Numbers of Squares of Paths and Cycles	2024	Domenico Mergoni Cecchelli Peter J. Allen Jozef Skokan Barnaby Roberts
+ PDF Chat	A robust Corrádi–Hajnal theorem	2024	Peter Allen Julia Böttcher Jan Corsten Ewan Davies Matthew Jenssen Patrick Morris Barnaby Roberts Jozef Skokan
+	A robust Corrádi--Hajnal Theorem	2022	Peter J. Allen Julia Böttcher Jan Corsten Ewan Davies Matthew Jenssen Patrick Morris Barnaby Roberts Jozef Skokan
+	The Ramsey numbers of squares of paths and cycles	2022	Peter J. Allen Domenico Mergoni Cecchelli Barnaby Roberts Jozef Skokan
+	The multicolour size-Ramsey number of powers of paths	2020	Jie Han Matthew Jenssen Yoshiharu Kohayakawa Guilherme Oliveira Mota Barnaby Roberts
+ PDF Chat	The size‐Ramsey number of powers of paths	2018	Dennis Clemens Matthew Jenssen Yoshiharu Kohayakawa Natasha Morrison Guilherme Oliveira Mota Damian Reding Barnaby Roberts
+	Tight bounds on the coefficients of partition functions via stability	2018	Ewan Davies Matthew Jenssen Will Perkins Barnaby Roberts
+ PDF Chat	Extremes of the internal energy of the Potts model on cubic graphs	2018	Ewan Davies Matthew Jenssen Will Perkins Barnaby Roberts
+	The multicolour size-Ramsey number of powers of paths	2018	Jie Han Matthew Jenssen Yoshiharu Kohayakawa Guilherme Oliveira Mota Barnaby Roberts
+ PDF Chat	Triangle-Free Subgraphs of Random Graphs	2017	Peter Allen Julia Böttcher Yoshiharu Kohayakawa Barnaby Roberts
+ PDF Chat	Tight bounds on the coefficients of partition functions via stability	2017	Ewan Davies Matthew Jenssen Barnaby Roberts Will Perkins
+	Structure and randomness in extremal combinatorics	2017	Barnaby Roberts
+	The size-Ramsey number of powers of paths	2017	Dennis Clemens Matthew Jenssen Yoshiharu Kohayakawa Natasha Morrison Guilherme Oliveira Mota Damian Reding Barnaby Roberts
+	Número de Ramsey relativo a arestas de potências de caminhos	2017	Dennis Clemens Matthew Jenssen Yoshiharu Kohayakawa Natasha Morrison Guilherme Oliveira Mota Damian Reding Barnaby Roberts
+ PDF Chat	Independent sets, matchings, and occupancy fractions	2017	Ewan Davies Matthew Jenssen Will Perkins Barnaby Roberts
+	On the average size of independent sets in triangle-free graphs	2017	Ewan Davies Matthew Jenssen Will Perkins Barnaby Roberts
+	Ramsey Numbers of Connected Clique Matchings	2017	Barnaby Roberts
+	The size-Ramsey number of powers of paths	2017	Dennis Clemens Matthew Jenssen Yoshiharu Kohayakawa Natasha Morrison Guilherme Oliveira Mota Damian Reding Barnaby Roberts
+ PDF Chat	Partite Saturation Problems	2016	Barnaby Roberts
+	Ramsey Numbers of Connected Clique Matchings	2016	Barnaby Roberts
+	Ramsey Numbers of Connected Clique Matchings	2016	Barnaby Roberts
+ PDF Chat	Triangle-Free Subgraphs of Random Graphs	2015	Peter Allen Julia Böttcher Barnaby Roberts Yoshiharu Kohayakawa
+ PDF Chat	Ramsey Numbers of Squares of Paths	2015	Peter Allen Barnaby Roberts Jozef Skokan
+	Triangle-free subgraphs of random graphs	2015	Peter Allen Julia Böttcher Yoshiharu Kohayakawa Barnaby Roberts
+	Partite Saturation Problems	2015	Barnaby Roberts
+	Partite Saturation Problems	2015	Barnaby Roberts
+	Triangle-free subgraphs of random graphs	2015	Peter J. Allen Julia Böttcher Yoshiharu Kohayakawa Barnaby Roberts

Common Coauthors

Coauthor	Papers Together
Matthew Jenssen	13
Yoshiharu Kohayakawa	9
Ewan Davies	7
Julia Böttcher	6
Guilherme Oliveira Mota	6
Will Perkins	5
Peter Allen	5
Jozef Skokan	5
Natasha Morrison	4
Damian Reding	4
Dennis Clemens	4
Peter J. Allen	4
Jie Han	2
Jan Corsten	2
Patrick Morris	2
Domenico Mergoni Cecchelli	2
Yoshiharu Kohayakawa	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Sparse partition universal graphs for graphs of bounded degree	2011	Yoshiharu Kohayakawa Vojtěch Rödl Mathias Schacht Endre Szemerédi	7
+	An Entropy Approach to the Hard-Core Model on Bipartite Graphs	2001	Jeff Kahn	5
+	The size Ramsey number	1978	Péter L. Erdős Ralph J. Faudree Cecil Rousseau R. H. Schelp	5
+	The Induced Size-Ramsey Number of Cycles	1995	Penny Haxell Yoshiharu Kohayakawa Tomasz Łuczak	5
+ PDF Chat	Ramsey-goodness—and otherwise	2013	Peter Allen Graham Brightwell Jozef Skokan	5
+	The size Ramsey number of trees with bounded degree	1993	Xin Ke	5
+	The size Ramsey number of a directed path	2011	Ido Ben‐Eliezer Michael Krivelevich Benny Sudakov	5
+	On Size Ramsey Number of Paths, Trees and Circuits. II	1990	József Beck	5
+ PDF Chat	Calculating Ramsey Numbers by Partitioning Colored Graphs	2016	Alexey Pokrovskiy	5
+	On a Problem of Formal Logic	1930	Frank Plumpton Ramsey	5
+	The size-Ramsey number of trees	1995	Penny Haxell Yoshiharu Kohayakawa	5
+	Expanding graphs contain all small trees	1987	Joel Friedman Nicholas Pippenger	5
+ PDF Chat	On the combinatorial problems which I would most like to see solved	1981	P. Erdős	5
+ PDF Chat	Recent developments in graph Ramsey theory	2015	David Conlon Jacob Fox Benny Sudakov	4
+ PDF Chat	Path Ramsey Number for Random Graphs	2015	Shoham Letzter	4
+ PDF Chat	Independent sets, matchings, and occupancy fractions	2017	Ewan Davies Matthew Jenssen Will Perkins Barnaby Roberts	4
+ PDF Chat	An Alternative Proof of the Linearity of the Size-Ramsey Number of Paths	2014	Andrzej Dudek Paweł Prałat	4
+	Blow-up lemmas for sparse graphs	2016	Peter Allen Julia Böttcher Hiệp Hàn Yoshiharu Kohayakawa Yury Person	4
+ PDF Chat	The Number of Independent Sets in a Regular Graph	2009	Yufei Zhao	4
+	On the Chromatic Number of Triangle-Free Graphs of Large Minimum Degree	2002	Carsten Thomassen	3
+ PDF Chat	On the Number of Matchings in Regular Graphs	2008	Shmuel Friedland Elliot Krop Klas Markström	3
+	Combinatorial theorems relative to a random set	2014	David Conlon	3
+	Independent sets in hypergraphs	2014	József Balogh Robert Morris Wojciech Samotij	3
+	On a valence problem in extremal graph theory	1973	P. Erdős Miklós Simonovits	3
+	The Ramsey size number of dipaths	2002	David Reimer	3
+ PDF Chat	The Bipartite Swapping Trick on Graph Homomorphisms	2011	Yufei Zhao	3
+	On size Ramsey number of paths, trees, and circuits. I	1983	József Beck	3
+ PDF Chat	On weighted graph homomorphisms	2004	David Galvin Prasad Tetali	3
+ PDF Chat	The size‐Ramsey number of trees	2011	Domingos Dellamonica	3
+ PDF Chat	On the Widom–Rowlinson Occupancy Fraction in Regular Graphs	2016	Emma Cohen Will Perkins Prasad Tetali	3
+	OnK 4-free subgraphs of random graphs	1997	Yoshiharu Kohayakawa Tomasz Łuczak V. Rödl	3
+ PDF Chat	Explicit construction of linear sized tolerant networks	1988	Noga Alon Fan Chung	3
+	Matchings and independent sets of a fixed size in regular graphs	2009	Teena Carroll David Galvin Prasad Tetali	3
+	Uniqueness of the extremal graph in the problem of maximizing the number of independent sets in regular graphs	2016	A. A. Dmitriev Alex Dainiak	2
+	On the average size of independent sets in triangle-free graphs	2017	Ewan Davies Matthew Jenssen Will Perkins Barnaby Roberts	2
+	Szemerédi’s Regularity Lemma for Sparse Graphs	1997	Yoshiharu Kohayakawa	2
+ PDF Chat	On the Size‐Ramsey Number of Hypergraphs	2017	Andrzej Dudek Steven La Fleur Dhruv Mubayi Vojtěch Rödl	2
+	Three tutorial lectures on entropy and counting	2014	David Galvin	2
+	On the independence number of sparse graphs	1995	James B. Shearer	2
+	Counting matchings in irregular bipartite graphs and random lifts	2017	Marc Lelarge	2
+ PDF Chat	Extremes of the internal energy of the Potts model on cubic graphs	2018	Ewan Davies Matthew Jenssen Will Perkins Barnaby Roberts	2
+	A note on the independence number of triangle-free graphs	1983	James B. Shearer	2
+	Ramsey Numbers Involving Graphs with Long Suspended Paths	1981	Stefan Burr	2
+	Asymptotics of the Upper Matching Conjecture	2013	Liviu Ilinca J. Kahn	2
+ PDF Chat	Recurrence of Distributional Limits of Finite Planar Graphs	2001	Itaı Benjamini Oded Schramm	2
+	REGULAR PARTITIONS OF GRAPHS	1975	Endre Szemerédi	2
+ PDF Chat	On the structure of linear graphs	1946	Paul Erdős A. H. Stone	2
+ PDF Chat	On the KŁR conjecture in random graphs	2014	David Conlon W. T. Gowers Wojciech Samotij Mathias Schacht	2
+	On the Chromatic Number of H-Free Graphs of Large Minimum Degree	2010	Jeremy Lyle	2
+	The Bethe Partition Function of Log-supermodular Graphical Models	2012	Nicholas Ruozzi	2