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Bender, Edward A.

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Author ID: bender.edward-a Recent zbMATH articles by "Bender, Edward A."
Published as: Bender, E.; Bender, E. A.; Bender, Edward A.
Documents Indexed: 117 Publications since 1962, including 4 Books

Publications by Year

Citations contained in zbMATH Open

99 Publications have been cited 1,289 times in 983 Documents Cited by Year
Asymptotic methods in enumeration. Zbl 0294.05002
Bender, Edward A.
179
1974
The asymptotic number of labeled graphs with given degree sequences. Zbl 0402.05042
Bender, Edward A.; Canfield, E. Rodney
166
1978
Central and local limit theorems applied to asymptotic enumeration. Zbl 0242.05006
Bender, Edward A.
124
1973
The asymptotic number of rooted maps on a surface. Zbl 0606.05031
Bender, Edward A.; Canfield, E. Rodney
57
1986
Enumeration of plane partitions. Zbl 0246.05010
Bender, Edward A.; Knuth, Donald E.
56
1972
Enumerative uses of generating functions. Zbl 0217.01803
Bender, E. A.; Goldman, J. R.
42
1971
Central and local limit theorems applied to asymptotic enumeration. II: Multivariate generating functions. Zbl 0511.05003
Bender, Edward A.; Richmond, L. Bruce
32
1983
The enumeration of maps on the torus and the projective plane. Zbl 0617.05036
Bender, E. A.; Canfield, E. R.; Robinson, R. W.
30
1988
On the applications of Möbius inversion in combinatorial analysis. Zbl 0316.05001
Bender, E. A.; Goldman, J. R.
29
1975
The asymptotic number of labeled connected graphs with a given number of vertices and edges. Zbl 0745.05022
Bender, Edward A.; Canfield, E. Rodney; McKay, Brendan D.
26
1990
The number of labeled 2-connected planar graphs. Zbl 1021.05052
Bender, Edward A.; Gao, Zhicheng; Wormald, Nicholas C.
22
2002
An asymptotic expansion for the coefficients of some formal power series. Zbl 0297.05013
Bender, Edward A.
22
1975
The asymptotic number of non-negative integer matrices with given row and column sums. Zbl 0293.05009
Bender, Edward A.
22
1974
The number of rooted maps on an orientable surface. Zbl 0751.05052
Bender, Edward A.; Canfield, E. Rodney
21
1991
A survey of the asymptotic behaviour of maps. Zbl 0563.05033
Bender, Edward A.; Richmond, L. Bruce
20
1986
The asymptotic number of rooted maps on a surface. II: Enumeration by vertices and faces. Zbl 0777.05065
Bender, Edward A.; Canfield, E. Rodney; Richmond, L. Bruce
19
1993
Characteristic polynomials of symmetric matrices. Zbl 0157.08601
Bender, Edward A.
15
1968
The number of degree-restricted rooted maps on the sphere. Zbl 0794.05048
Bender, Edward A.; Canfield, E. Rodney
14
1994
The asymptotic number of rooted nonseparable maps on a surface. Zbl 0657.05037
Bender, Edward A.; Wormald, Nicholas C.
14
1988
A theoretical analysis of backtracking in the graph coloring problem. Zbl 0601.68039
Bender, Edward A.; Wilf, Herbert S.
14
1985
Random mappings with constraints on coalescence and number of origins. Zbl 0514.05033
Arney, James; Bender, Edward A.
14
1982
Mathematical methods in artificial intelligence. Zbl 0896.68113
Bender, Edward A.
13
1996
Almost all chordal graphs split. Zbl 0571.05026
Bender, E. A.; Richmond, L. B.; Wormald, N. C.
13
1985
Convex n-ominoes. Zbl 0284.05009
Bender, Edward A.
13
1974
Log-concavity and related properties of the cycle index polynomials. Zbl 0853.05013
Bender, Edward A.; Canfield, E. Rodney
12
1996
Submaps of maps. I: General 0-1 laws. Zbl 0810.05034
Bender, Edward A.; Gao, Zhi-Cheng; Richmond, L. Bruce
12
1992
The asymptotic number of acyclic digraphs. I. Zbl 0601.05025
Bender, E. A.; Richmond, L. B.; Robinson, R. W.; Wormald, N. C.
12
1986
The asymptotic number of tree-rooted maps on a surface. Zbl 0644.05027
Bender, Edward A.; Canfield, E. Rodney; Robinson, Robert W.
11
1988
The number of loopless planar maps. Zbl 0563.05032
Bender, Edward A.; Wormald, Nicholas C.
10
1985
An asymptotic expansion for the coefficients of some power series. II: Lagrange inversion. Zbl 0553.05009
Bender, Edward A.; Richmond, L. Bruce
10
1984
The distribution of subword counts is usually normal. Zbl 0776.68097
Bender, Edward A.; Kochman, Fred
9
1993
Classes of matrices over an integral domain. Zbl 0153.05303
Bender, Edward A.
9
1967
Area-perimeter relations for two-dimensional lattices. Zbl 0192.28701
Bender, E. A.
9
1962
The map asymptotics constant \(t_{g}\). Zbl 1159.05026
Bender, Edward A.; Gao, Zhicheng; Richmond, L. Bruce
8
2008
Almost all rooted maps have large representativity. Zbl 0809.05060
Bender, Edward A.; Gao, Zhicheng; Richmond, L. Bruce
8
1994
The asymptotic number of acyclic digraphs. II. Zbl 0654.05035
Bender, Edward A.; Robinson, Robert W.
8
1988
Face sizes of 3-polytopes. Zbl 0666.05005
Bender, Edward A.; Canfield, E. Rodney
7
1989
The number of rooted convex polyhedra. Zbl 0649.05034
Bender, Edward A.; Wormald, Nicholas C.
7
1988
The asymptotic enumeration of rooted convex polyhedra. Zbl 0527.05038
Bender, Edward A.; Richmond, L. Bruce
7
1984
A generalized q-binomial Vandermonde convolution. Zbl 0218.05005
Bender, E. A.
7
1971
A multivariate Lagrange inversion formula for asymptotic calculations. Zbl 0901.05005
Bender, Edward A.; Richmond, L. Bruce
6
1998
The asymptotic number of labeled graphs with \(n\) vertices, \(q\) edges, and no isolated vertices. Zbl 0883.05071
Bender, Edward A.; Canfield, E. Rodney; McKay, Brendan D.
6
1997
Asymptotic properties of rooted 3-connected maps on surfaces. Zbl 0913.05041
Bender, Edward A.; Gao, Zhicheng; Richmond, L. Bruce; Wormald, Nicholas C.
6
1996
Foundations of applied combinatorics. Zbl 0793.05001
Bender, Edward A.; Williamson, S. Gill
6
1991
Symmetric matrices, characteristic polynomials, and Hilbert symbols over local number fields. Zbl 0259.15008
Bender, Edward A.; Herzberg, Norman P.
6
1973
A lifting formula for the Hilbert symbol. Zbl 0243.12008
Bender, Edward A.
6
1973
The dimensions of symmetric matrices with a given minimum polynomial. Zbl 0186.05601
Bender, E. A.
6
1970
Asymptotic enumeration of labelled graphs by genus. Zbl 1205.05013
Bender, Edward A.; Gao, Zhicheng
5
2011
The asymptotic number of irreducible partitions. Zbl 0569.05005
Bender, Edward A.; Odlyzko, Andrew M.; Richmond, L. Bruce
5
1985
Asymptotics of combinatorial structures with large smallest component. Zbl 1048.05007
Bender, Edward A.; Mashatan, Atefeh; Panario, Daniel; Richmond, L. Bruce
4
2004
Asymptotics of permutations with nearly periodic patterns of rises and falls. Zbl 1031.05015
Bender, Edward A.; Helton, William J.; Richmond, L. Bruce
4
2003
Asymptotics for the probability of connectedness and the distribution of number of components. Zbl 0948.05009
Bell, Jason P.; Bender, Edward A.; Cameron, Peter J.; Richmond, L. Bruce
4
2000
0-1 laws for maps. Zbl 0940.60038
Bender, Edward A.; Compton, Kevin J.; Richmond, L. Bruce
4
1999
Admissible functions and asymptotics for labelled structures by number of components. Zbl 0904.05008
Bender, Edward A.; Richmond, L. Bruce
4
1996
Largest 4-connected components of 3-connected planar triangulations. Zbl 0839.05090
Bender, Edward A.; Richmond, L. Bruce; Wormald, Nicholas C.
4
1995
Submaps of maps. II: Cyclically \(k\)-connected planar cubic maps. Zbl 0810.05035
Bender, Edward A.; Gao, Zhi-Cheng; McCuaig, William D.; Richmond, L. Bruce
4
1992
Asymptotic properties of labeled connected graphs. Zbl 0779.05044
Bender, Edward A.; Canfield, E. Rodney; McKay, Brendan D.
4
1992
Random trees in random graphs. Zbl 0645.05033
Bender, E. A.; Wormald, N. C.
4
1988
The number of three-dimensional convex polyhedra. Zbl 0647.05031
Bender, Edward A.
4
1987
Partitions of multisets. Zbl 0289.05014
Bender, Edward A.
4
1974
Locally restricted compositions. II: General restrictions and infinite matrices. Zbl 1186.05009
Bender, Edward A.; Canfield, E. Rodney
3
2009
Locally restricted compositions. I. Restricted adjacent differences. Zbl 1088.05007
Bender, Edward A.; Canfield, E. Rodney
3
2005
Multivariate asymptotics for products of large powers with applications to Lagrange inversion. Zbl 0927.41017
Bender, Edward A.; Richmond, L. Bruce
3
1999
Pizza slicing, phi’s and the Riemann hypothesis. Zbl 0814.11045
Bender, Edward A.; Patashnik, Oren; Rumsey, Howard jun.
3
1994
Almost all convex polyhedra are asymmetric. Zbl 0563.52013
Bender, Edward A.; Wormald, Nicholas C.
3
1985
Asymptotic approximations for the number of fanout-free functions. Zbl 0385.94026
Bender, Edward A.; Butler, Jon T.
3
1978
Characteristic polynomials of symmetric matrices. II: Local number fields. Zbl 0285.15009
Bender, Edward A.
3
1974
On Buckhiester’s enumeration of \(n \times n\) matrices. Zbl 0284.05008
Bender, Edward A.
3
1974
The exponents of strongly connected graphs. Zbl 0179.52702
Bender, E. A.; Tucker, T. W.
3
1969
Asymptotics of some convolutional recurrences. Zbl 1193.05018
Bender, Edward A.; Olde Daalhuis, Adri B.; Gao, Zhicheng; Richmond, L. Bruce; Wormald, Nicholas
2
2010
Coefficients of functional compositions often grow smoothly. Zbl 1158.05303
Bender, Edward A.; Canfield, E. Rodney; Richmond, L. Bruce
2
2008
Irreducible compositions and the first return to the origin of a random walk. Zbl 1064.60014
Bender, Edward A.; Lawler, Gregory F.; Pemantle, Robin; Wilf, Herbert S.
2
2003
An approximate probabilistic model for structured Gaussian elimination. Zbl 0921.68043
Bender, Edward A.; Canfield, E. Rodney
2
1999
Periodic sorting using minimum delay, recursively constructed merging networks. Zbl 0884.68041
Bender, Edward A.; Williamson, S. Gill
2
1998
Submap density and asymmetry results for two parameter map families. Zbl 0867.05029
Bender, Edward A.; Canfield, E. Rodney; Gao, Zhicheng; Richmond, L. Bruce
2
1997
Submaps of maps. III: \(k\)-connected nonplanar maps. Zbl 0810.05036
Bender, Edward A.; Richmond, L. Bruce
2
1992
3-edge-connected embeddings have few singular edges. Zbl 0705.05026
Bender, Edward A.; Richmond, L. Bruce
2
1990
A generalization of Canfield’s formula. Zbl 0601.05004
Bender, Edward A.; Richmond, L. Bruce
2
1986
Correlated random walks. Zbl 0542.60067
Bender, Edward A.; Richmond, L. Bruce
2
1984
Central and local limit theorems applied to asymptotic enumeration. III. Matrix recursions. Zbl 0524.05017
Bender, Edward A.; Richmond, L. Bruce; Williamson, S. G.
2
1983
Errata: Asymptotic methods in enumeration. Zbl 0321.05007
Bender, Edward A.
2
1976
Similarity to symmetric matrices over fields which are not formally real. Zbl 0319.15006
Bender, Edward A.; Brawley, J. V.
2
1975
Locally restricted compositions. IV: Nearly free large parts and gap-freeness. Zbl 1296.05006
Bender, Edward A.; Canfield, E. Rodney; Gao, Zhicheng
1
2012
Locally restricted compositions. IV. Nearly free large parts and gap-freeness. Zbl 1267.05019
Bender, Edward A.; Canfield, E. Rodney; Gao, Zhicheng
1
2012
Locally restricted compositions. III: Adjacent-part periodic inequalities. Zbl 1204.05013
Bender, Edward A.; Canfield, E. Rodney
1
2010
An introduction to mathematical modeling. Reprint of the 1978 original ed. Zbl 1191.93007
Bender, Edward A.
1
2000
Intersections of randomly embedded sparse graphs are Poisson. Zbl 0934.05116
Bender, Edward A.; Canfield, E. Rodney
1
1999
Enumeration of degree restricted maps on the sphere. Zbl 0790.05005
Bender, E. A.; Canfield, E. R.
1
1993
The asymptotic number of labelled weakly-connected digraphs with a given number of vertices and edges. Zbl 0771.05087
Bender, Edward A.; Canfield, E. Rodney; McKay, Brendan D.
1
1992
Enumeration of subspaces by dimension sequence. Zbl 0766.15002
Bender, Edward A.; Coley, Raymond; Robbins, David P.; Rumsey, Howard jun.
1
1992
On the size of PLA’s required to realize binary and multiple-valued functions. Zbl 0709.94616
Bender, Edward A.; Butler, Jon T.
1
1989
Enumeration of structured flowcharts. Zbl 0628.68009
Bender, Edward A.; Butler, Jon T.
1
1985
Some asymptotic bijections. Zbl 0554.05004
Bender, Edward A.; Zeilberger, Doron
1
1985
Partitions of multisets. II. Zbl 0553.05010
Bender, Edward A.; Devitt, John S.; Richmond, L. Bruce
1
1984
The number of fanout-free functions with various gates. Zbl 0425.94020
Bender, Edward A.
1
1980
Characteristic polynomials of symmetric matrices. III: Some counterexamples. Zbl 0285.15010
Bender, Edward A.; Herzberg, Norman P.
1
1974
A lifting theorem for formal power series. Zbl 0282.13006
Bender, Edward A.
1
1974
The enumerative uses of generating functions. Zbl 0194.01104
Bender, E. A.; Goldman, J. R.
1
1970
Classes of matrices and quadratic fields. Zbl 0164.03202
Bender, E. A.
1
1968
Locally restricted compositions. IV: Nearly free large parts and gap-freeness. Zbl 1296.05006
Bender, Edward A.; Canfield, E. Rodney; Gao, Zhicheng
1
2012
Locally restricted compositions. IV. Nearly free large parts and gap-freeness. Zbl 1267.05019
Bender, Edward A.; Canfield, E. Rodney; Gao, Zhicheng
1
2012
Asymptotic enumeration of labelled graphs by genus. Zbl 1205.05013
Bender, Edward A.; Gao, Zhicheng
5
2011
Asymptotics of some convolutional recurrences. Zbl 1193.05018
Bender, Edward A.; Olde Daalhuis, Adri B.; Gao, Zhicheng; Richmond, L. Bruce; Wormald, Nicholas
2
2010
Locally restricted compositions. III: Adjacent-part periodic inequalities. Zbl 1204.05013
Bender, Edward A.; Canfield, E. Rodney
1
2010
Locally restricted compositions. II: General restrictions and infinite matrices. Zbl 1186.05009
Bender, Edward A.; Canfield, E. Rodney
3
2009
The map asymptotics constant \(t_{g}\). Zbl 1159.05026
Bender, Edward A.; Gao, Zhicheng; Richmond, L. Bruce
8
2008
Coefficients of functional compositions often grow smoothly. Zbl 1158.05303
Bender, Edward A.; Canfield, E. Rodney; Richmond, L. Bruce
2
2008
Locally restricted compositions. I. Restricted adjacent differences. Zbl 1088.05007
Bender, Edward A.; Canfield, E. Rodney
3
2005
Asymptotics of combinatorial structures with large smallest component. Zbl 1048.05007
Bender, Edward A.; Mashatan, Atefeh; Panario, Daniel; Richmond, L. Bruce
4
2004
Asymptotics of permutations with nearly periodic patterns of rises and falls. Zbl 1031.05015
Bender, Edward A.; Helton, William J.; Richmond, L. Bruce
4
2003
Irreducible compositions and the first return to the origin of a random walk. Zbl 1064.60014
Bender, Edward A.; Lawler, Gregory F.; Pemantle, Robin; Wilf, Herbert S.
2
2003
The number of labeled 2-connected planar graphs. Zbl 1021.05052
Bender, Edward A.; Gao, Zhicheng; Wormald, Nicholas C.
22
2002
Asymptotics for the probability of connectedness and the distribution of number of components. Zbl 0948.05009
Bell, Jason P.; Bender, Edward A.; Cameron, Peter J.; Richmond, L. Bruce
4
2000
An introduction to mathematical modeling. Reprint of the 1978 original ed. Zbl 1191.93007
Bender, Edward A.
1
2000
0-1 laws for maps. Zbl 0940.60038
Bender, Edward A.; Compton, Kevin J.; Richmond, L. Bruce
4
1999
Multivariate asymptotics for products of large powers with applications to Lagrange inversion. Zbl 0927.41017
Bender, Edward A.; Richmond, L. Bruce
3
1999
An approximate probabilistic model for structured Gaussian elimination. Zbl 0921.68043
Bender, Edward A.; Canfield, E. Rodney
2
1999
Intersections of randomly embedded sparse graphs are Poisson. Zbl 0934.05116
Bender, Edward A.; Canfield, E. Rodney
1
1999
A multivariate Lagrange inversion formula for asymptotic calculations. Zbl 0901.05005
Bender, Edward A.; Richmond, L. Bruce
6
1998
Periodic sorting using minimum delay, recursively constructed merging networks. Zbl 0884.68041
Bender, Edward A.; Williamson, S. Gill
2
1998
The asymptotic number of labeled graphs with \(n\) vertices, \(q\) edges, and no isolated vertices. Zbl 0883.05071
Bender, Edward A.; Canfield, E. Rodney; McKay, Brendan D.
6
1997
Submap density and asymmetry results for two parameter map families. Zbl 0867.05029
Bender, Edward A.; Canfield, E. Rodney; Gao, Zhicheng; Richmond, L. Bruce
2
1997
Mathematical methods in artificial intelligence. Zbl 0896.68113
Bender, Edward A.
13
1996
Log-concavity and related properties of the cycle index polynomials. Zbl 0853.05013
Bender, Edward A.; Canfield, E. Rodney
12
1996
Asymptotic properties of rooted 3-connected maps on surfaces. Zbl 0913.05041
Bender, Edward A.; Gao, Zhicheng; Richmond, L. Bruce; Wormald, Nicholas C.
6
1996
Admissible functions and asymptotics for labelled structures by number of components. Zbl 0904.05008
Bender, Edward A.; Richmond, L. Bruce
4
1996
Largest 4-connected components of 3-connected planar triangulations. Zbl 0839.05090
Bender, Edward A.; Richmond, L. Bruce; Wormald, Nicholas C.
4
1995
The number of degree-restricted rooted maps on the sphere. Zbl 0794.05048
Bender, Edward A.; Canfield, E. Rodney
14
1994
Almost all rooted maps have large representativity. Zbl 0809.05060
Bender, Edward A.; Gao, Zhicheng; Richmond, L. Bruce
8
1994
Pizza slicing, phi’s and the Riemann hypothesis. Zbl 0814.11045
Bender, Edward A.; Patashnik, Oren; Rumsey, Howard jun.
3
1994
The asymptotic number of rooted maps on a surface. II: Enumeration by vertices and faces. Zbl 0777.05065
Bender, Edward A.; Canfield, E. Rodney; Richmond, L. Bruce
19
1993
The distribution of subword counts is usually normal. Zbl 0776.68097
Bender, Edward A.; Kochman, Fred
9
1993
Enumeration of degree restricted maps on the sphere. Zbl 0790.05005
Bender, E. A.; Canfield, E. R.
1
1993
Submaps of maps. I: General 0-1 laws. Zbl 0810.05034
Bender, Edward A.; Gao, Zhi-Cheng; Richmond, L. Bruce
12
1992
Submaps of maps. II: Cyclically \(k\)-connected planar cubic maps. Zbl 0810.05035
Bender, Edward A.; Gao, Zhi-Cheng; McCuaig, William D.; Richmond, L. Bruce
4
1992
Asymptotic properties of labeled connected graphs. Zbl 0779.05044
Bender, Edward A.; Canfield, E. Rodney; McKay, Brendan D.
4
1992
Submaps of maps. III: \(k\)-connected nonplanar maps. Zbl 0810.05036
Bender, Edward A.; Richmond, L. Bruce
2
1992
The asymptotic number of labelled weakly-connected digraphs with a given number of vertices and edges. Zbl 0771.05087
Bender, Edward A.; Canfield, E. Rodney; McKay, Brendan D.
1
1992
Enumeration of subspaces by dimension sequence. Zbl 0766.15002
Bender, Edward A.; Coley, Raymond; Robbins, David P.; Rumsey, Howard jun.
1
1992
The number of rooted maps on an orientable surface. Zbl 0751.05052
Bender, Edward A.; Canfield, E. Rodney
21
1991
Foundations of applied combinatorics. Zbl 0793.05001
Bender, Edward A.; Williamson, S. Gill
6
1991
The asymptotic number of labeled connected graphs with a given number of vertices and edges. Zbl 0745.05022
Bender, Edward A.; Canfield, E. Rodney; McKay, Brendan D.
26
1990
3-edge-connected embeddings have few singular edges. Zbl 0705.05026
Bender, Edward A.; Richmond, L. Bruce
2
1990
Face sizes of 3-polytopes. Zbl 0666.05005
Bender, Edward A.; Canfield, E. Rodney
7
1989
On the size of PLA’s required to realize binary and multiple-valued functions. Zbl 0709.94616
Bender, Edward A.; Butler, Jon T.
1
1989
The enumeration of maps on the torus and the projective plane. Zbl 0617.05036
Bender, E. A.; Canfield, E. R.; Robinson, R. W.
30
1988
The asymptotic number of rooted nonseparable maps on a surface. Zbl 0657.05037
Bender, Edward A.; Wormald, Nicholas C.
14
1988
The asymptotic number of tree-rooted maps on a surface. Zbl 0644.05027
Bender, Edward A.; Canfield, E. Rodney; Robinson, Robert W.
11
1988
The asymptotic number of acyclic digraphs. II. Zbl 0654.05035
Bender, Edward A.; Robinson, Robert W.
8
1988
The number of rooted convex polyhedra. Zbl 0649.05034
Bender, Edward A.; Wormald, Nicholas C.
7
1988
Random trees in random graphs. Zbl 0645.05033
Bender, E. A.; Wormald, N. C.
4
1988
The number of three-dimensional convex polyhedra. Zbl 0647.05031
Bender, Edward A.
4
1987
The asymptotic number of rooted maps on a surface. Zbl 0606.05031
Bender, Edward A.; Canfield, E. Rodney
57
1986
A survey of the asymptotic behaviour of maps. Zbl 0563.05033
Bender, Edward A.; Richmond, L. Bruce
20
1986
The asymptotic number of acyclic digraphs. I. Zbl 0601.05025
Bender, E. A.; Richmond, L. B.; Robinson, R. W.; Wormald, N. C.
12
1986
A generalization of Canfield’s formula. Zbl 0601.05004
Bender, Edward A.; Richmond, L. Bruce
2
1986
A theoretical analysis of backtracking in the graph coloring problem. Zbl 0601.68039
Bender, Edward A.; Wilf, Herbert S.
14
1985
Almost all chordal graphs split. Zbl 0571.05026
Bender, E. A.; Richmond, L. B.; Wormald, N. C.
13
1985
The number of loopless planar maps. Zbl 0563.05032
Bender, Edward A.; Wormald, Nicholas C.
10
1985
The asymptotic number of irreducible partitions. Zbl 0569.05005
Bender, Edward A.; Odlyzko, Andrew M.; Richmond, L. Bruce
5
1985
Almost all convex polyhedra are asymmetric. Zbl 0563.52013
Bender, Edward A.; Wormald, Nicholas C.
3
1985
Enumeration of structured flowcharts. Zbl 0628.68009
Bender, Edward A.; Butler, Jon T.
1
1985
Some asymptotic bijections. Zbl 0554.05004
Bender, Edward A.; Zeilberger, Doron
1
1985
An asymptotic expansion for the coefficients of some power series. II: Lagrange inversion. Zbl 0553.05009
Bender, Edward A.; Richmond, L. Bruce
10
1984
The asymptotic enumeration of rooted convex polyhedra. Zbl 0527.05038
Bender, Edward A.; Richmond, L. Bruce
7
1984
Correlated random walks. Zbl 0542.60067
Bender, Edward A.; Richmond, L. Bruce
2
1984
Partitions of multisets. II. Zbl 0553.05010
Bender, Edward A.; Devitt, John S.; Richmond, L. Bruce
1
1984
Central and local limit theorems applied to asymptotic enumeration. II: Multivariate generating functions. Zbl 0511.05003
Bender, Edward A.; Richmond, L. Bruce
32
1983
Central and local limit theorems applied to asymptotic enumeration. III. Matrix recursions. Zbl 0524.05017
Bender, Edward A.; Richmond, L. Bruce; Williamson, S. G.
2
1983
Random mappings with constraints on coalescence and number of origins. Zbl 0514.05033
Arney, James; Bender, Edward A.
14
1982
The number of fanout-free functions with various gates. Zbl 0425.94020
Bender, Edward A.
1
1980
The asymptotic number of labeled graphs with given degree sequences. Zbl 0402.05042
Bender, Edward A.; Canfield, E. Rodney
166
1978
Asymptotic approximations for the number of fanout-free functions. Zbl 0385.94026
Bender, Edward A.; Butler, Jon T.
3
1978
Errata: Asymptotic methods in enumeration. Zbl 0321.05007
Bender, Edward A.
2
1976
On the applications of Möbius inversion in combinatorial analysis. Zbl 0316.05001
Bender, E. A.; Goldman, J. R.
29
1975
An asymptotic expansion for the coefficients of some formal power series. Zbl 0297.05013
Bender, Edward A.
22
1975
Similarity to symmetric matrices over fields which are not formally real. Zbl 0319.15006
Bender, Edward A.; Brawley, J. V.
2
1975
Asymptotic methods in enumeration. Zbl 0294.05002
Bender, Edward A.
179
1974
The asymptotic number of non-negative integer matrices with given row and column sums. Zbl 0293.05009
Bender, Edward A.
22
1974
Convex n-ominoes. Zbl 0284.05009
Bender, Edward A.
13
1974
Partitions of multisets. Zbl 0289.05014
Bender, Edward A.
4
1974
Characteristic polynomials of symmetric matrices. II: Local number fields. Zbl 0285.15009
Bender, Edward A.
3
1974
On Buckhiester’s enumeration of \(n \times n\) matrices. Zbl 0284.05008
Bender, Edward A.
3
1974
Characteristic polynomials of symmetric matrices. III: Some counterexamples. Zbl 0285.15010
Bender, Edward A.; Herzberg, Norman P.
1
1974
A lifting theorem for formal power series. Zbl 0282.13006
Bender, Edward A.
1
1974
Central and local limit theorems applied to asymptotic enumeration. Zbl 0242.05006
Bender, Edward A.
124
1973
Symmetric matrices, characteristic polynomials, and Hilbert symbols over local number fields. Zbl 0259.15008
Bender, Edward A.; Herzberg, Norman P.
6
1973
A lifting formula for the Hilbert symbol. Zbl 0243.12008
Bender, Edward A.
6
1973
Enumeration of plane partitions. Zbl 0246.05010
Bender, Edward A.; Knuth, Donald E.
56
1972
Enumerative uses of generating functions. Zbl 0217.01803
Bender, E. A.; Goldman, J. R.
42
1971
A generalized q-binomial Vandermonde convolution. Zbl 0218.05005
Bender, E. A.
7
1971
The dimensions of symmetric matrices with a given minimum polynomial. Zbl 0186.05601
Bender, E. A.
6
1970
The enumerative uses of generating functions. Zbl 0194.01104
Bender, E. A.; Goldman, J. R.
1
1970
The exponents of strongly connected graphs. Zbl 0179.52702
Bender, E. A.; Tucker, T. W.
3
1969
Characteristic polynomials of symmetric matrices. Zbl 0157.08601
Bender, Edward A.
15
1968
Classes of matrices and quadratic fields. Zbl 0164.03202
Bender, E. A.
1
1968
Classes of matrices over an integral domain. Zbl 0153.05303
Bender, Edward A.
9
1967
Area-perimeter relations for two-dimensional lattices. Zbl 0192.28701
Bender, E. A.
9
1962
all top 5

Cited by 1,166 Authors

33 Bender, Edward A.
26 Wormald, Nicholas Charles
20 Gao, Zhicheng
20 Richmond, L. Bruce
18 Canfield, E. Rodney
18 Liu, Yanpei
15 Noy, Marc
15 Pittel, Boris G.
14 Flajolet, Philippe
13 Frieze, Alan Michael
13 Kang, Mihyun
12 Drmota, Michael
11 Chapuy, Guillaume
11 McKay, Brendan D.
10 Bousquet-Mélou, Mireille
10 Giménez, Omer
10 Yakymiv, Arsen Lubomirovich
9 Fusy, Éric
9 Li, Zhaoxiang
8 Bollobás, Béla
8 Gessel, Ira Martin
8 Robinson, Robert W.
8 Stanley, Richard Peter
8 Wagner, Stephan G.
7 Arquès, Didier G.
7 Goulden, Ian P.
7 Jackson, David M.
7 Janson, Svante
7 Kyriakoussis, Andreas George
7 Leroux, Pierre
7 Liskovets, Valery A.
7 Odlyzko, Andrew M.
7 Ravelomanana, Vlady
7 Vamvakari, Malvina G.
7 van der Hofstad, Remco W.
6 Bernardi, Olivier
6 Bhamidi, Shankar
6 Compton, Kevin J.
6 Gittenberger, Bernhard
6 Labelle, Gilbert
6 Panagiotou, Konstantinos D.
6 Ren, Han
6 Rué, Juanjo
5 Barvinok, Alexander I.
5 Cooper, Colin
5 Gao, Pu
5 Gardy, Danièle
5 Hwang, Hsien-Kuei
5 Kemp, Rainer
5 Krivelevich, Michael
5 Molloy, Michael S. O.
5 Sprugnoli, Renzo
5 Sprussel, Philipp
5 Walsh, Timothy R. S.
5 Wang, Yi
5 Wilf, Herbert S.
5 Zelenyuk, Yuliya
4 Blieberger, Johann
4 de Panafieu, Elie
4 Elizalde, Sergi
4 Fountoulakis, Nikolaos
4 Greenhill, Catherine S.
4 Heuberger, Clemens
4 Hou, Xiang-Dong
4 Lipovetsky, Stan
4 Louchard, Guy
4 Łuczak, Tomasz
4 Müller, Thomas W.
4 Palmer, Edgar M.
4 Robbins, David P.
4 Salvy, Bruno
4 Soria, Michèle
4 Wagner, Carl G.
4 White, Dennis E.
4 Zelenyuk, Yevhen G.
4 Zhao, Yiqiang Q.
3 Addario-Berry, Louigi
3 Bodini, Olivier
3 Cai, Junliang
3 Coja-Oghlan, Amin
3 Corteel, Sylvie
3 Estes, Dennis Ray
3 Fischer, Ilse
3 Gansner, Emden R.
3 Gawronski, Wolfgang
3 Giorgetti, Alain
3 Hansen, Jennie C.
3 Kim, Gene B.
3 Kim, Jeong Han
3 Konvalina, John
3 Lee, Sangchul
3 Li, Hui
3 Liu, Wenzhong
3 Lladser, Manuel E.
3 Loehr, Nicholas A.
3 Louf, Baptiste
3 Lubetzky, Eyal
3 Lyuu, Yuh-Dauh
3 Ma, Junling
3 Manstavičius, Eugenijus
...and 1,066 more Authors
all top 5

Cited in 220 Serials

92 Journal of Combinatorial Theory. Series A
79 Discrete Mathematics
48 Random Structures & Algorithms
42 European Journal of Combinatorics
39 Journal of Combinatorial Theory. Series B
37 Theoretical Computer Science
26 Combinatorics, Probability and Computing
24 Discrete Applied Mathematics
19 Advances in Mathematics
16 Advances in Applied Mathematics
16 The Electronic Journal of Combinatorics
11 Information Processing Letters
11 Journal of Statistical Physics
10 Mathematical Notes
10 Linear Algebra and its Applications
9 Studies in Applied Mathematics
9 Transactions of the American Mathematical Society
9 Graphs and Combinatorics
8 Journal of Mathematical Biology
8 Monatshefte für Mathematik
8 Probability Theory and Related Fields
8 The Annals of Applied Probability
8 Séminaire Lotharingien de Combinatoire
7 Linear and Multilinear Algebra
7 Journal of Algebra
7 Journal of Number Theory
7 Annals of Combinatorics
6 Advances in Applied Probability
6 Journal of Mathematical Analysis and Applications
6 Journal of Computational and Applied Mathematics
6 Journal of Computer and System Sciences
6 Journal of Soviet Mathematics
6 Journal of Statistical Planning and Inference
6 Combinatorica
6 Acta Mathematicae Applicatae Sinica. English Series
6 Journal of Applied Mathematics and Computing
5 Communications in Mathematical Physics
5 Israel Journal of Mathematics
5 Mathematical Biosciences
5 The Annals of Probability
5 Discrete Mathematics and Applications
5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
5 The Ramanujan Journal
4 Bulletin of the Australian Mathematical Society
4 Journal of Mathematical Physics
4 Nuclear Physics. B
4 Mathematics of Computation
4 Applied Mathematics and Computation
4 Archiv der Mathematik
4 Journal of Applied Probability
4 Journal of Graph Theory
4 Algorithmica
4 Mathematical and Computer Modelling
4 SIAM Journal on Discrete Mathematics
4 Aequationes Mathematicae
4 Communications in Statistics. Theory and Methods
4 The Australasian Journal of Combinatorics
4 Journal of Algebraic Combinatorics
4 Acta Mathematica Sinica. English Series
4 Journal of Physics A: Mathematical and Theoretical
3 Lithuanian Mathematical Journal
3 Physics Reports
3 The Journal of Symbolic Logic
3 Mathematische Zeitschrift
3 Statistics & Probability Letters
3 Journal of Symbolic Computation
3 International Journal of Approximate Reasoning
3 Queueing Systems
3 Finite Fields and their Applications
3 Annals of Mathematics and Artificial Intelligence
3 Chaos
3 Journal of Integer Sequences
3 Probability in the Engineering and Informational Sciences
3 Methodology and Computing in Applied Probability
2 Acta Informatica
2 Artificial Intelligence
2 Communications in Algebra
2 Indian Journal of Pure & Applied Mathematics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Psychometrika
2 Theory of Probability and its Applications
2 BIT
2 Inventiones Mathematicae
2 Journal of Pure and Applied Algebra
2 Manuscripta Mathematica
2 Proceedings of the American Mathematical Society
2 SIAM Journal on Computing
2 Cybernetics
2 Mathematical Social Sciences
2 SIAM Journal on Algebraic and Discrete Methods
2 Acta Applicandae Mathematicae
2 Physica D
2 Discrete & Computational Geometry
2 Journal of Theoretical Probability
2 Designs, Codes and Cryptography
2 RAIRO. Informatique Théorique et Applications
2 Journal of Difference Equations and Applications
2 Bernoulli
2 New Journal of Physics
2 Journal of High Energy Physics
...and 120 more Serials
all top 5

Cited in 50 Fields

694 Combinatorics (05-XX)
208 Probability theory and stochastic processes (60-XX)
123 Computer science (68-XX)
100 Number theory (11-XX)
38 Statistics (62-XX)
36 Biology and other natural sciences (92-XX)
34 Linear and multilinear algebra; matrix theory (15-XX)
32 Group theory and generalizations (20-XX)
29 Operations research, mathematical programming (90-XX)
28 Numerical analysis (65-XX)
28 Statistical mechanics, structure of matter (82-XX)
25 Order, lattices, ordered algebraic structures (06-XX)
23 Convex and discrete geometry (52-XX)
18 Special functions (33-XX)
18 Approximations and expansions (41-XX)
17 Manifolds and cell complexes (57-XX)
17 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
15 Mathematical logic and foundations (03-XX)
15 Algebraic geometry (14-XX)
14 Quantum theory (81-XX)
13 Dynamical systems and ergodic theory (37-XX)
12 Information and communication theory, circuits (94-XX)
9 Field theory and polynomials (12-XX)
9 Associative rings and algebras (16-XX)
9 Functions of a complex variable (30-XX)
9 Ordinary differential equations (34-XX)
8 Nonassociative rings and algebras (17-XX)
7 Commutative algebra (13-XX)
5 Difference and functional equations (39-XX)
4 Category theory; homological algebra (18-XX)
4 Relativity and gravitational theory (83-XX)
3 Topological groups, Lie groups (22-XX)
3 Real functions (26-XX)
3 Partial differential equations (35-XX)
3 Algebraic topology (55-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Functional analysis (46-XX)
2 Operator theory (47-XX)
2 Geometry (51-XX)
2 General topology (54-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Systems theory; control (93-XX)
1 General algebraic systems (08-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Differential geometry (53-XX)
1 Mechanics of deformable solids (74-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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