Alan J. Hoffman

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All published works

Action	Title	Year	Authors
+	SOME METRIC INEQUALITIES IN THE SPACE	2016	Ky Fan Alan J. Hoffman
+	A Simple Proof of a Generalized Cauchy–Binet Theorem	2016	Alan J. Hoffman Chai Wah Wu
+	Integral Boundary Points of Convex Polyhedra	2009	Alan J. Hoffman Joseph B. Kruskal
+	Geršgorin variations III: On a theme of Brualdi and Varga	2007	Endre Boros Richard A. Brualdi Yves Crama Alan J. Hoffman
+	On the singularity of matrices	2004	Don Coppersmith Alan J. Hoffman
+	ON SIMPLE LINEAR PROGRAMMING PROBLEMS	2003	Alan J. Hoffman
+	SOME RECENT APPLICATIONS OF THE THEORY OF LINEAR INEQUALITIES TO EXTREMAL COMBINATORIAL ANALYSIS	2003	Alan J. Hoffman
+	SELF-ORTHOGONAL LATIN SQUARES	2003	Robert K. Brayton Don Coppersmith Alan J. Hoffman
+	ON UNIONS AND INTERSECTIONS OF CONES	2003	Alan J. Hoffman
+	NEAREST $\mathcal{S}$-MATRICES OF GIVEN RANK AND THE RAMSEY PROBLEM FOR EIGENVALUES OF BIPARTITE $\mathcal{S}$-GRAPHS	2003	Alan J. Hoffman Peter JOFFE
+	On Spectrally Bounded Graphs	2003	Alan J. Hoffman
+	Series parallel composition of greedy linear programming problems	2003	Wolfgang Bein Peter Brucker Alan J. Hoffman
+	Variations on a Theorem of Ryser	2003	Dasong Cao Vašek Chvátal Alan J. Hoffman Andrew Vince
+	Linear G-Functions	2003	Alan J. Hoffman
+	On the Relationship between the Hausdorff Distance and Matrix Distances of Ellipsoids	2003	Jean‐Louis Goffin Alan J. Hoffman
+	SOME METRIC INEQUALITIES IN THE SPACE OF MATRICES	2003	Ky Fan Alan J. Hoffman
+	On Approximate Solutions of Systems of Linear Inequalities	2003	Alan J. Hoffman
+	On Eigenvalues and Colorings of Graphs	2003	Alan J. Hoffman
+	A nonlinear allocation problem	2003	Eric V. Denardo Alan J. Hoffman Tony MacKenzie William R. Pulleyblank
+	ON THE FOUNDATIONS OF INVERSION GEOMETRY	2003	Alan J. Hoffman
+	A Proof of the Convexity of the Range of a Nonatomic Vector Measure Using Linear Inequalities	2003	Alan J. Hoffman Uriel G. Rothblum
+	On the submodular matrix representation of a digraph	2002	A Gaillard Heinz Groeflin Alan J. Hoffman William R. Pulleyblank
+	On a Problem of Zaks	2001	Alan J. Hoffman
+	Gersgorin variations I: on a theme of Pupkov and Solov'ev	2000	Alan J. Hoffman
+	On the existence of sequences and matrices with prescribed partial sums of elements	1997	Daniel Hershkowitz Alan J. Hoffman Hans Schneider
+	Inequalities of Rayleigh quotients and bounds on the spectral radius of nonnegative symmetric matrices	1997	Don Coppersmith Alan J. Hoffman Uriel G. Rothblum
+	The variation of the spectrum of a normal matrix (with Alan J. Hoffman) [19]	1996	Earl Barnes Miroslav Fiedler Shmuel Friedland Alan J. Hoffman John Holbrook Jiguang Sun Hans Schneider
+ PDF Chat	A Characterization of Nonnegative Box-Greedy Matrices	1996	Ulrich Faigle Alan J. Hoffman Walter Kern
+	A note on almost regular matrices	1995	Alan J. Hoffman Philip Wolfe M. Hofmeister
+	Approximations to Solutions to Systems of Linear Inequalities	1995	Osman Güler Alan J. Hoffman Uriel G. Rothblum
+	A nonlinear allocation problem	1994	Eric V. Denardo Alan J. Hoffman Tony MacKenzie W. R. Pulleyblank
+	Bounds for the spectrum of normal matrices	1994	Earl Barnes Alan J. Hoffman
+	A proof of the convexity of the range of a nonatomic vector measure using linear inequalities	1994	Alan J. Hoffman Uriel G. Rothblum
+	Monge and feasibility sequences in general flow problems	1993	Ilan Adler Alan J. Hoffman Ron Shamir
+	Series parallel composition of greedy linear programming problems	1993	Wolfgang Bein Peter Brucker Alan J. Hoffman
+	Staircase transportation problems with superadditive rewards and cumulative capacities	1993	Alan J. Hoffman Arthur F. Veinott
+	Optimal partitions having disjoint convex and conic hulls	1992	Earl Barnes Alan J. Hoffman Uriel G. Rothblum
+	Linear programming with spheres and hemispheres of objective vectors	1991	B. Curtis Eaves Alan J. Hoffman Hui Hu
+	Greedy packing and series-parallel graphs	1988	Alan J. Hoffman Alan Tucker
+	A generalization of the Eckart-Young-Mirsky matrix approximation theorem	1987	Gene H. Golub Alan J. Hoffman G. W. Stewart
+	A Generalization of the Eckart-Young-Mirsky	1987	Matrix Approximation Theorem Gene H. Golub Alan J. Hoffman G. W. Stewart
+ PDF Chat	On the cone of nonnegative circuits	1986	Alan J. Hoffman Carl W. Lee
+	Note on a conjecture of Kojima and Saigal	1985	Alan J. Hoffman
+	Totally-Balanced and Greedy Matrices	1985	Alan J. Hoffman Antoon Kolen Michel Sakarovitch
+ PDF Chat	Path partitions and packs of acyclic digraphs	1985	Ron Aharoni Irith Ben‐Arroyo Hartman Alan J. Hoffman
+	On the spectral radius of (0,1)-matrices	1985	Richard A. Brualdi Alan J. Hoffman
+	Minimizing a unimodal function of two integer variables	1985	Alan J. Hoffman Philip Wolfe
+	Triangulations (tilings) and certain block triangular matrices	1985	George B. Dantzig Alan J. Hoffman T. C. Hu
+	On the relationship between the Hausdorff distance and matrix distances of ellipsoids	1983	Jean‐Louis Goffin Alan J. Hoffman
+	Extending Greene's theorem to directed graphs	1983	Alan J. Hoffman
+	Two Remarks on the Mendelsohn-Dulmage Theorem	1982	David Gale Alan J. Hoffman
+	On bounds for eigenvalues of real symmetric matrices	1981	Earl Barnes Alan J. Hoffman
+	On matroid intersections	1981	Heinz Gröflin Alan J. Hoffman
+ PDF Chat	Maximum degree in graphs of diameter 2	1980	Paul Erdős Siemion Fajtlowicz Alan J. Hoffman
+	The Role of Unimodularity in Applying Linear Inequalities to Combinatorial Theorems	1979	Alan J. Hoffman
+	Linear programming and combinatorics	1979	Alan J. Hoffman
+	Polyhedral combinatorics : dedicated to the memory of D. R. Fulkerson	1978	D. R. Fulkerson Michel Balinski Alan J. Hoffman
+	D.R. Fulkerson’s contributions to polyhedral combinatorics	1978	Alan J. Hoffman
+	On signed graphs and gramians	1977	Alan J. Hoffman
+	On partitions of a partially ordered set	1977	Alan J. Hoffman David Schwartz
+	On graphs whose least eigenvalue exceeds − 1 − √2	1977	Alan J. Hoffman
+	Total unimodularity and combinatorial theorems	1976	Alan J. Hoffman
+	Book reviews	1976	Larry J. Gerstein H. Mochizuki George P. H. Styan D. Ž Djoković Alston Householder Alan J. Hoffman C.J. Maxson
+	Linear G-functions<sup>†</sup>	1975	Alan J. Hoffman
+	Applications of Ramsey Style Theorems to Eigenvalues of Graphs	1975	Alan J. Hoffman
+	On copositive matrices with −1, 0, 1 entries	1973	Alan J. Hoffman Francisco C. Pereira
+	On Spectrally Bounded Graphs	1973	Alan J. Hoffman
+	Eigenvalues and partitionings of the edges of a graph	1972	Alan J. Hoffman
+	On limit points of spectral radii of non-negative symmetric integral matrices	1972	Alan J. Hoffman
+	Combinatorial aspects of Gerschgorin’s theorem	1971	Alan J. Hoffman
+	Patterns of Dependence in Generalizations of Gerschgorin’s Theorem	1970	Alan J. Hoffman Richard S. Varga
+ PDF Chat	On the variation of co-ordinates in subspaces	1970	Alan J. Hoffman
+	ON EIGENVALUES AND COLORINGS OF GRAPHS, II	1970	Alan J. Hoffman Leonard Howes
+	ON EIGENVALUES AND COLORINGS OF GRAPHS, II	1970	Alan J. Hoffman Leonard Howes
+	Two remarks on compositive matrices	1969	Emilie V. Haynsworth Alan J. Hoffman
+	The Change in the Least Eigenvalued of the Adjacency Matrix of a Graph Under Imbedding	1969	Alan J. Hoffman
+	Bounds for the rank and eigenvalues of a matrix.	1968	Alan J. Hoffman
+	RANKS OF MATRICES AND FAMILIES OF CONES*	1967	Alan J. Hoffman
+ PDF Chat	On the nonsingularity of complex matrices	1966	Paul Camion Alan J. Hoffman
+ PDF Chat	The polynomial of a directed graph	1965	Alan J. Hoffman M. H. McAndrew
+ PDF Chat	On the nonsingularity of real matrices	1965	Alan J. Hoffman
+ PDF Chat	On the line Graph of a Finite Affine Plane	1965	Alan J. Hoffman D. K. Ray-Chaudhuri
+	Linear Inequalities and Analysis	1964	Alan J. Hoffman M. H. McAndrew
+ PDF Chat	Some Properties of the Rank and Invariant Factors of Matrices<sup>*</sup>	1964	Ralph E. Gomory Alan J. Hoffman N. C. Hsu
+	On abstract dual linear programs	1963	Alan J. Hoffman
+ PDF Chat	On unimodular matrices	1962	Isidore Heller Alan J. Hoffman
+	Large Linear Programs.	1962	Alan J. Hoffman
+	On Moore Graphs with Diameters 2 and 3	1960	Alan J. Hoffman Robert R. Singleton
+ PDF Chat	On the Uniqueness of the Triangular Association Scheme	1960	Alan J. Hoffman
+	Some recent applications of the theory of linear inequalities to extremal combinatorial analysis	1960	Alan J. Hoffman
+	11. Dilworth’s Theorem on Partially Ordered Sets	1957	George B. Dantzig Alan J. Hoffman
+ PDF Chat	Systems of inequalities involving convex functions	1957	Ky Fan Irving Glicksberg Alan J. Hoffman
+ PDF Chat	On the number of absolute points of a correlation	1956	Alan J. Hoffman Morris Newman E. G. Straus Olga Taussky
+ PDF Chat	Some metric inequalities in the space of matrices	1955	Ky Fan Alan J. Hoffman
+	On a theorem ofOstrowski andTaussky	1954	Richard Bellman Alan J. Hoffman
+	A characterization of normal matrices	1954	Alan J. Hoffman Olga Taussky
+	Lower bounds for the rank and location of the Eigenvalues of a matrix	1953	Ky Fan Alan J. Hoffman
+	On an inequality of Hardy, Littlewood and Polya	1953	Alan J. Hoffman
+ PDF Chat	Cyclic Affine Planes	1952	Alan J. Hoffman
+	Chains in the projective line	1951	Alan J. Hoffman
+ PDF Chat	On the foundations of inversion geometry	1951	Alan J. Hoffman

Common Coauthors

Coauthor	Papers Together
Ky Fan	5
Uriel G. Rothblum	5
Earl Barnes	4
Don Coppersmith	3
Leonard Howes	2
Eric V. Denardo	2
G. W. Stewart	2
M. H. McAndrew	2
Philip Wolfe	2
Richard A. Brualdi	2
Gene H. Golub	2
Olga Taussky	2
Wolfgang Bein	2
Hans Schneider	2
Jean‐Louis Goffin	2
George B. Dantzig	2
William R. Pulleyblank	2
Tony MacKenzie	2
Peter Brucker	2
Yves Crama	1
Matrix Approximation Theorem	1
C.J. Maxson	1
Emilie V. Haynsworth	1
Alan Tucker	1
H. Mochizuki	1
Dasong Cao	1
Jiguang Sun	1
Ralph E. Gomory	1
Walter Kern	1
Arthur F. Veinott	1
Endre Boros	1
Ron Aharoni	1
E. G. Straus	1
M. Hofmeister	1
Andrew Vince	1
B. Curtis Eaves	1
Robert K. Brayton	1
Irith Ben‐Arroyo Hartman	1
Irving Glicksberg	1
David Schwartz	1
D. R. Fulkerson	1
Richard Bellman	1
Paul Erdös	1
John Holbrook	1
Paul Camion	1
Michel Sakarovitch	1
Daniel Hershkowitz	1
T. C. Hu	1
Miroslav Fiedler	1
Robert R. Singleton	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A Recurring Theorem on Determinants	1949	Olga Taussky	5
+	Some partitions associated with a partially ordered set	1976	Curtis Greene	5
+	Integral Boundary Points of Convex Polyhedra	2009	Alan J. Hoffman Joseph B. Kruskal	5
+	A Recurring Theorem on Determinants	1949	Olga Taussky	4
+	Linear Inequalities and Related Systems.	1956	George B. Dantzig Harold W. Kuhn A. W. Tucker	4
+	On Spectrally Bounded Graphs	1973	Alan J. Hoffman	3
+	The Change in the Least Eigenvalued of the Adjacency Matrix of a Graph Under Imbedding	1969	Alan J. Hoffman	3
+	Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix	1954	Alfred Horn	3
+	Some recent applications of the theory of linear inequalities to extremal combinatorial analysis	1960	Alan J. Hoffman	3
+	13. Integral Boundary Points of Convex Polyhedra	1957	A. J. Hoffman J. B. Kruskal	3
+	Linear Programming and Extensions	1963	George B. Dantzig	2
+ PDF Chat	On a Theorem of Weyl Concerning Eigenvalues of Linear Transformations I	1949	Ky Fan	2
+	Spectra of graphs	1980	Cvetkovi cacute Mikhina Vs Michael Doob H. Sachs	2
+	Linear Programming and Extensions	1963	George B. Dantzig	2
+	On simple linear programming problems	1963	A. J. Hoffman	2
+	Extending the Greene-Kleitman theorem to directed graphs	1981	Nathan Linial	2
+ PDF Chat	Extreme copositive quadratic forms. II	1967	L. D. Baumert	2
+	Eigenvalues and partitionings of the edges of a graph	1972	Alan J. Hoffman	2
+	On partitions of a partially ordered set	1977	Alan J. Hoffman David Schwartz	2
+	Characterizations of strongly chordal graphs	1983	Martin Farber	2
+	A combinatorial problem	1946	de Ng Dick Bruijn	2
+	Modules unimodulaires	1968	Paul Camion	2
+	A theory of cross-spaces	1950	Robert Schatten	2
+	On Eigenvalues and Colorings of Graphs	2003	Alan J. Hoffman	2
+	The interchange graph of a finite graph	1965	A. C. M. van Rooij Herbert S. Wilf	2
+	Schur complements and statistics	1981	Diane Valérie Ouellette	2
+	Total unimodularity and combinatorial theorems	1976	Alan J. Hoffman	2
+	Totally-Balanced and Greedy Matrices	1985	Alan J. Hoffman Antoon Kolen Michel Sakarovitch	2
+ PDF Chat	On the nonsingularity of real matrices	1965	Alan J. Hoffman	2
+	On Moore Graphs with Diameters 2 and 3	1960	Alan J. Hoffman Robert R. Singleton	2
+ PDF Chat	On the nonsingularity of complex matrices	1966	Paul Camion Alan J. Hoffman	2
+ PDF Chat	An Analysis of the Total Least Squares Problem	1980	Gene H. Golub Charles F. Van Loan	2
+	Patterns of Dependence in Generalizations of Gerschgorin’s Theorem	1970	Alan J. Hoffman Richard S. Varga	2
+ PDF Chat	Strongly regular graphs, partial geometries and partially balanced designs	1963	R. C. Bose	2
+ PDF Chat	An extremum property of sums of eigenvalues	1955	Helmut Wielandt	2
+	Strong versions of Sperner's theorem	1976	Curtis Greene Daniel J. Kleitman	2
+ PDF Chat	SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS	1960	L. Mirsky	2
+	Latent Root Regression Analysis	1974	J. T. Webster Richard F. Gunst Robert Mason	2
+ PDF Chat	Maxima for Graphs and a New Proof of a Theorem of Turán	1965	T. S. Motzkin E. G. Straus	2
+	Note on Dilworth's Decomposition Theorem for Partially Ordered Sets	1956	D. R. Fulkerson	2
+	Nested bounds for the spectral radius	1969	Ivo Marek Richard S. Varga	1
+	Entropy splitting for antiblocking corners and perfect graphs	1990	Imre Csiszár János Körner László Lovász K. Marton Gábor Simonyi	1
+	The distance to a polyhedron	1992	C. Bergthaller Ivan Singer	1
+	A note onG-generating families and isolated Gerschgorin disks	1973	Helen I. Medley	1
+	A Survey of Combinatorial Theory.	1974	D. E. Barton J. N. Srivastava Frank Harary C. R. Rao G.-C Rota S. S. Shrikhande	1
+	SIMPLE GROUPS OF LIE TYPE	1975	I. G. Macdonald	1
+ PDF Chat	Non-existence of almost-complex structures on quaternionic projective spaces	1962	William S. Massey	1
+	Polyhedral and algorithmic ramifications of antichains	1982	Kathleen Barbara Cameron	1
+ PDF Chat	Nilpotence of the commutator subgroup in groups admitting fixed point free operator groups	1966	Ernest E. Shult	1
+ PDF Chat	A characterization of tetrahedral graphs	1967	R. C. Bose Renu Laskar	1