Allen J. Schwenk

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All published works

Action	Title	Year	Authors
+	Trees, Trees, So Many Trees	2017	Allen J. Schwenk
+	Irrational Roots of Integers	2005	Ayshhyah Khazad Allen J. Schwenk
+	Tiling Large Rectangles	2002	Darren A. Narayan Allen J. Schwenk
+	A Polynomial with a Root Mod <i>m</i> for Every <i>m</i>	2000	Allen J. Schwenk
+	A Polynomial with a Root Mod m for Every m	2000	Allen J. Schwenk
+	Beware of Geeks Bearing Grifts	2000	Allen J. Schwenk
+	What Is the Correct Way to Seed a Knockout Tournament?	2000	Allen J. Schwenk
+	<i>Several Sets of n</i> + 1 <i>Shapes, Each the Similitude Union of the Other n</i>	1999	Allen J. Schwenk
+	Several Sets of n + 1 Shapes, Each the Similitude Union of the Other n	1999	Allen J. Schwenk
+	Introduction to Limits, or Why Can't We Just Trust the Table?	1997	Allen J. Schwenk
+	Introduction to Limits, or Why Can't We Just Trust the Table?	1997	Allen J. Schwenk
+	Remarks on Problem B-3 on the 1990 William Lowell Putnam Mathematical Competition	1994	Jiuqiang Liu Allen J. Schwenk
+	Remarks on Problem B-3 on the 1990 William Lowell Putnam Mathematical Competition	1994	Jiuqiang Liu Allen J. Schwenk
+	Which Rectangular Chessboards Have a Knight's Tour?	1991	Allen J. Schwenk
+	Enumeration of Hamiltonian cycles in certain generalized Petersen graphs	1989	Allen J. Schwenk
+	An Eigenvector Characterization of Cospectral Graphs Having Cospectral Joinsa	1989	Narsingh Deo Frank Harary Allen J. Schwenk
+	Tight bounds on the spectral radius of asymmetric nonnegative matrices	1986	Allen J. Schwenk
+	Venn Diagram for Five Sets	1984	Allen J. Schwenk
+	Venn Diagram for Five Sets	1984	Allen J. Schwenk
+	Pseudosimilar vertices in a graph	1981	Robert J. Kimble Allen J. Schwenk Paul K. Stockmeyer
+ PDF Chat	Integral starlike trees	1979	Mamoru Watanabe Allen J. Schwenk
+	SPECTRAL RECONSTRUCTION PROBLEMS*	1979	Allen J. Schwenk
+ PDF Chat	The spectral approach to determining the number of walks in a graph	1979	Frank Harary Allen J. Schwenk
+	Exactly thirteen connected cubic graphs have integral spectra	1978	Allen J. Schwenk
+	Enumeration of graphs with signed points and lines	1977	Frank Harary Edgar M. Palmer Robert W. Robinson Allen J. Schwenk
+	An asymptotic evaluation of the cycle index of a symmetric group	1977	Allen J. Schwenk
+ PDF Chat	On tactical configurations with no four-cycles	1976	Frank Harary Allen J. Schwenk
+ PDF Chat	Twenty-step algorithm for determining the asymptotic number of trees of various speces	1975	Frank Harary Robert W. Robinson Allen J. Schwenk
+	The distribution of degrees in a large random tree	1975	Robert W. Robinson Allen J. Schwenk
+	Computing the Characteristic polynomial of a graph	1974	Allen J. Schwenk
+	Which graphs have integral spectra?	1974	Frank Harary Allen J. Schwenk
+	On the number of unique subgraphs	1973	Frank Harary Allen J. Schwenk
+ PDF Chat	Trees with Hamiltonian square	1971	Frank Harary Allen J. Schwenk

Common Coauthors

Coauthor	Papers Together
Frank Harary	8
Robert W. Robinson	3
Jiuqiang Liu	2
Robert J. Kimble	1
Narsingh Deo	1
Edgar M. Palmer	1
Ayshhyah Khazad	1
Mamoru Watanabe	1
Darren A. Narayan	1
Paul K. Stockmeyer	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Computing the Characteristic polynomial of a graph	1974	Allen J. Schwenk	5
+	Graphical Enumeration	1973		4
+ PDF Chat	The spectral approach to determining the number of walks in a graph	1979	Frank Harary Allen J. Schwenk	3
+ PDF Chat	Cospectral Graphs and Digraphs	1971	Frank Harary Clarence King Abbe Mowshowitz Ronald C. Read	2
+	Beziehungen zwischen den in einem Graphen enthaltenen Kreisen und seinem charakteristischen Polynom	2022	H. Sachs	2
+	Which graphs have integral spectra?	1974	Frank Harary Allen J. Schwenk	2
+	The spectrum of a graph	1977	Chris Godsil Derek Holton Brendan D. McKay	2
+ PDF Chat	The number of homeomorphically irreducible trees, and other species	1959	Frank Harary Geert Prins	2
+	Constructing cospectral graphs	1982	Chris Godsil Brendan D. McKay	1
+	On Moore Graphs with Diameters 2 and 3	1960	Alan J. Hoffman Robert R. Singleton	1
+	On conjugated molecules with identical topological spectra	1975	Tomislav P. Živković Nenad Trinajstić Milan Randić	1
+ PDF Chat	Examples of solvable and nonsolvable convolution equations in 𝒦<sub><i>p</i></sub>′,<i>p</i>≥ 1	1979	Olaf von Grudziński	1
+ PDF Chat	Isomorphisms and simultaneous extensions in<i>C</i>(<i>S</i>)	1979	Howard Banilower	1
+	The classification of hamiltonian generalized Petersen graphs	1983	Brian Alspach	1
+	On the number of balanced signed graphs	1967	Frank Harary Edgar M. Palmer	1
+ PDF Chat	A congruence theorem for trees	1957	Paul S. Kelly	1
+ PDF Chat	Common fixed points and iteration of commuting nonexpansive mappings	1979	Shiro Ishikawa	1
+	Hamiltonian cycles in generalized petersen graphs	1978	Kozo Bannai	1
+	GRAPHS WITH A SMALL NUMBER OF DISTINCT EIGENVALUES	1970	Michael Doob	1
+	On the number of unique subgraphs of a graph	1972	R. C. Entringer P. Erdős	1
+	Note sur le problème de Ulam	1979	Maurice Pouzet	1
+ PDF Chat	The number of linear, directed, rooted, and connected graphs	1955	Frank Harary	1
+	Monthly Unsolved Problems, 1969-1997	1997	Richard K. Guy Richard J. Nowakowski	1
+	A census of non-reconstructable digraphs, I: Six related families	1981	Paul K. Stockmeyer	1
+ PDF Chat	Connectivity properties of metric spaces	1979	Douglas Bridges	1
+	The number of self‐complementary achiral necklaces	1977	Edgar M. Palmer A. J. Schwenk	1
+ PDF Chat	On characterizations of exponential polynomials	1979	Philip Laird	1
+	The distribution of degrees in a large random tree	1975	Robert W. Robinson Allen J. Schwenk	1
+ PDF Chat	Plurisubharmonic defining functions	1979	John Erik Fornæss	1
+ PDF Chat	On the foundations of combinatorial theory I. Theory of M�bius Functions	1964	Gian Carlo Rota	1
+ PDF Chat	On the Meijer transform of generalized functions	1979	R. S. Pathak	1
+ PDF Chat	On the multiplicative Cousin problems for<i>N</i><sup><i>p</i></sup>(<i>D</i>)	1979	K. Adachi	1
+	Asymptotic Methods in Enumeration	1974	Edward A. Bender	1
+	Tiling Rectangles with Rectangles	1982	Fan Chung E. N. Gilbert Ron Graham James B. Shearer J. H. van Lint	1
+	On the Number of Self-Complementary Graphs and Digraphs	1963	Ronald C. Read	1
+ PDF Chat	Embedding partial idempotent<i>d</i>-ary quasigroups	1979	J. Csima	1
+ PDF Chat	Boundary continuity of some holomorphic functions	1979	Irving Glicksberg	1
+	Analytic function theory	1959	Einar Hille	1
+	Graph reconstruction—a survey	1977	J. A. Bondy Robert L. Hemminger	1
+ PDF Chat	Nonminimal roots in homotopy trees	1979	Micheal N. Dyer	1
+	On nodes of degree two in random trees	1968	A. Meir J. W. Moon	1
+ PDF Chat	Zur Theorie der Matrices	1907	Oskar Perron	1
+	An Introduction to the History of Mathematics	1978	John Niman Howard Eves	1
+ PDF Chat	On common fixed point sets of commutative mappings	1979	Teck Cheong Lim	1
+ PDF Chat	A cushioning-type weak covering property	1979	Sheldon W. Davis	1
+	Enumeration of colored graphs	1968	Robert W. Robinson	1
+	Bounds for a Linear Diophantine Problem of Frobenius	1975	Yehoshua Vitek	1
+	SPECTRAL RECONSTRUCTION PROBLEMS*	1979	Allen J. Schwenk	1
+	The Fifty-Second William Lowell Putnam Mathematical Competition	1992	Leonard F. Klosinski Gerald L. Alexanderson Loren C. Larson	1
+	Variations on an Irrational Theme—Geometry, Dynamics, Algebra	1997	Dan Kalman Robert Mena Shahriar Shahriari	1