Arthur M. Hobbs

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All published works

Action	Title	Year	Authors
+	Balanced and 1-balanced graph constructions	2010	Arthur M. Hobbs Lavanya Kannan Hong‐Jian Lai Hongyuan Lai Guoqing Weng
+	Hamiltonicity in vertex envelopes of plane cubic graphs	2008	Herbert Fleischner Arthur M. Hobbs Michael T. Muzheve
+	Transforming a graph into a 1-balanced graph	2008	Lavanya Kannan Arthur M. Hobbs Hong‐Jian Lai Hongyuan Lai
+ PDF Chat	Mathematical Expeditions: Chronicles by the Explorers	2002	Arthur M. Hobbs Reinhard Laubenbacher David Pengelley
+	Reviews	2002	Gerald B. Folland Arthur M. Hobbs Robert G. Bartle
+	Graph family operations	2001	Arthur M. Hobbs Hong‐Jian Lai Paul A. Catlin
+	Fractional arboricity, strength, and principal partitions in graphs and matroids	1992	Paul A. Catlin Jerrold W. Grossman Arthur M. Hobbs Hong‐Jian Lai
+	Packing trees in complete graphs	1987	Arthur M. Hobbs Brian A Bourgeois Jothi Kasiraj
+	On the maximum number of independent edges in cubic graphs	1982	Arthur M. Hobbs E. F. Schmeichel
+	Disjoint cliques and disjoint maximal independent sets of vertices in graphs	1982	Paul Erdős Arthur M. Hobbs Charles Payan
+	Maximal Hamiltonian cycles in squares of graphs	1979	Arthur M. Hobbs
+	A class of Hamiltonian regular graphs	1978	P. Erdős Arthur M. Hobbs
+	Hamiltonian Cycles in Regular Graphs	1978	Béla Bollobás Arthur M. Hobbs
+	Hamiltonian cycles in regular graphs of moderate degree	1977	P. Erdős Arthur M. Hobbs
+	The entire graph of a bridgeless connected plane graph is hamiltonian	1976	Arthur M. Hobbs John Mitchem
+ PDF Chat	Hamiltonian Cycles in Squares of Vertex-Unicyclic Graphs	1976	Herbert Fleischner Arthur M. Hobbs
+	The square of a block is vertex pancyclic	1976	Arthur M. Hobbs
+	A necessary condition for the square of a graph to be Hamiltonian	1975	Herbert Fleischner Arthur M. Hobbs
+	Hamiltonian Total Graphs	1975	Herbert Fleischner Arthur M. Hobbs
+	The square of a block is Hamiltonian connected	1974	Gary Chartrand Arthur M. Hobbs H. A. Jung Sanjiv Kapoor C. St. J. A. Nash‐Williams
+	Some Hamiltonian results in powers of graphs	1973	Arthur M. Hobbs
+	Thickness and connectivity in graphs	1968	Arthur M. Hobbs Jerrold W. Grossman

Common Coauthors

Coauthor	Papers Together
Herbert Fleischner	4
Hong‐Jian Lai	4
Jerrold W. Grossman	2
Lavanya Kannan	2
Paul A. Catlin	2
P. Erdős	2
Hongyuan Lai	2
Robert G. Bartle	1
Gary Chartrand	1
Paul Erdös	1
John Mitchem	1
Reinhard Laubenbacher	1
Jothi Kasiraj	1
H. A. Jung	1
Brian A Bourgeois	1
Béla Bollobás	1
C. St. J. A. Nash‐Williams	1
Charles Payan	1
Gerald B. Folland	1
David Pengelley	1
Guoqing Weng	1
Michael T. Muzheve	1
Sanjiv Kapoor	1
E. F. Schmeichel	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The square of every two-connected graph is Hamiltonian	1974	Herbert Fleischner	6
+	The square of a block is Hamiltonian connected	1974	Gary Chartrand Arthur M. Hobbs H. A. Jung Sanjiv Kapoor C. St. J. A. Nash‐Williams	3
+ PDF Chat	On a certain ordering of the vertices of a tree	1964	František Neuman	3
+	Fractional arboricity, strength, and principal partitions in graphs and matroids	1992	Paul A. Catlin Jerrold W. Grossman Arthur M. Hobbs Hong‐Jian Lai	3
+	Optimal attack and reinforcement of a network	1985	William H. Cunningham	3
+	Strongly balanced graphs and random graphs	1986	Andrzej Ruciński Andrew Vince	3
+	Connectivity in Graphs	1966	W. T. Tutte	2
+	A method in graph theory	1976	J. A. Bondy Vašek Chvátal	2
+	On Hamilton's ideals	1972	Vašek Chvátal	2
+	n-Hamiltonian graphs	1970	Gary Chartrand Sanjiv Kapoor Don R. Lick	2
+ PDF Chat	Trees with Hamiltonian square	1971	Frank Harary Allen J. Schwenk	2
+	Convex hulls of dense balanced graphs	1992	Tomasz Łuczak Andrzej Ruciński	2
+	Hamiltonian Total Graphs	1975	Herbert Fleischner Arthur M. Hobbs	2
+	On the Problem of Decomposing a Graph into <i>n</i> Connected Factors	1961	W. T. Tutte	2
+	A necessary condition for the square of a graph to be Hamiltonian	1975	Herbert Fleischner Arthur M. Hobbs	2
+	A note on Hamiltonian circuits	1972	Vašek Chvátal P. Erdős	2
+	The square of a block is vertex pancyclic	1976	Arthur M. Hobbs	2
+	A class of Hamiltonian regular graphs	1978	P. Erdős Arthur M. Hobbs	2
+	Hamiltonian-connected graphs	2008	Kewen Zhao Hong‐Jian Lai Ju Zhou	2
+	Coverings by minimal transversals	1978	Charles Payan	1
+	Maximally Distant Trees and Principal Partition of a Linear Graph	1969	Genya Kishi Yoji Kajitani	1
+	Supereulerian graphs: A survey	1992	Paul A. Catlin	1
+	Group connectivity of graphs—A nonhomogeneous analogue of nowhere-zero flow properties	1992	François Jaeger Nathan Linial Charles Payan Michael Tarsi	1
+	Hamiltonian decompositions of complete regular s-partite graphs	1986	A. J. W. Hilton C. A. Rodger	1
+	Mathematics in Society and History	1992	Sal Restivo	1
+	The entire graph of a bridgeless connected plane graph is hamiltonian	1976	Arthur M. Hobbs John Mitchem	1
+	On Hamiltonian bipartite graphs	1963	J. W. Moon Leo Moser	1
+	Cyclic Orderings of Matroids	2007	Stéphan Thomassé	1
+	The unreasonable effectiveness of mathematics in the natural sciences. Richard courant lecture in mathematical sciences delivered at New York University, May 11, 1959	1960	E. P. Wigner	1
+	Edge-Disjoint Spanning Trees of Finite Graphs	1961	C. St. J. A. Nash‐Williams	1
+	Proofs and Refutations	1976		1
+	Women of Mathematics: A Biobibliographic Sourcebook	1989	Barry Schiller Helen E. Salzberg Louise S. Grinstein Paul J. Campbell	1
+	Graduate Texts in Mathematics	1977	Rajendra Bhatia Glen Bredon Wolfgang Walter Joseph Rotman M. Ram Murty Jane Gilman Peter Walters Martin Golubitsky Ioannis Karatzas Henri Cohen	1
+	Hamiltonian and Eulerian properties of entire graphs	1972	John Mitchem	1
+	A correlation inequality and a poisson limit theorem for nonoverlapping balanced subgraphs of a random graph	1990	W. C. Stephen Suen	1
+	The principal minors of a matroid	1971	John Bruno Louis Weinberg	1
+	On the number of strictly balanced subgraphs of a random graph	1983	Michał Karoński Andrezj Ruciński	1
+	On Sperner families satisfying an additional condition	1976	Péter Frankl	1
+	Return to the Riemann Integral	1996	Robert G. Bartle	1
+	Handbook of Analysis and Its Foundations	1997	Eric Schechter	1
+ PDF Chat	Cubic identity graphs and planar graphs derived from trees	1970	A. T. Balaban Roy O. Davies Frank Harary Anthony Hill R. Westwick	1
+	Alternating hamiltonian cycles in two colored complete bipartite graphs	1992	Amanda G. Chetwynd A. J. W. Hilton	1
+	Balanced graphs and network flows	1997	Stephen G. Penrice	1
+	The Unreasonable Effectiveness of Mathematics	1980	R. W. Hamming	1
+	On random graphs. I.	2022	P. Erdős A. Rényi	1
+	Every graph is contained in a sparsest possible balanced graph	1985	Ervin Győri Bruce Rothschild A. Runciński	1
+	Hamiltonian cycles in regular graphs of moderate degree	1977	P. Erdős Arthur M. Hobbs	1
+	Balanced Extensions of Spare Graphs	1992	Tomasz Łuczak Andrzej Ruciński	1
+	Some Hamiltonian results in powers of graphs	1973	Arthur M. Hobbs	1
+ PDF Chat	A Contribution to the Theory of Chromatic Polynomials	1954	W. T. Tutte	1