-
1
-
-
84902031544
-
The matrix of maximum out forests and its applications
-
R.P. Agaev, and P.Y. Chebotarev The matrix of maximum out forests and its applications Automation and Remote Control 61 2000 1424 1450
-
(2000)
Automation and Remote Control
, vol.61
, pp. 1424-1450
-
-
Agaev, R.P.1
Chebotarev, P.Y.2
-
3
-
-
21744461175
-
Moore-Penrose inverse of the incidence matrix of a tree
-
R.B. Bapat Moore-Penrose inverse of the incidence matrix of a tree Linear and Multilinear Algebra 42 1997 159 167
-
(1997)
Linear and Multilinear Algebra
, vol.42
, pp. 159-167
-
-
Bapat, R.B.1
-
4
-
-
17844391955
-
An enumerating function for spanning forests with color restrictions
-
R.B. Bapat, and G. Constantine An enumerating function for spanning forests with color restrictions Linear Algebra Appl. 173 1992 231 237
-
(1992)
Linear Algebra Appl.
, vol.173
, pp. 231-237
-
-
Bapat, R.B.1
Constantine, G.2
-
8
-
-
84964961339
-
-
Cambridge University Press Cambridge
-
N. Biggs Algebraic Graph Theory 1974 Cambridge University Press Cambridge
-
(1974)
Algebraic Graph Theory
-
-
Biggs, N.1
-
9
-
-
0011497784
-
Über eine der Interpolation entsprechende Darstellung der Eliminations-Resultante
-
C.W. Borchardt über eine der Interpolation entsprechende Darstellung der Eliminations-Resultante Journal für die reine und angewandte Mathematik 57 1860 111 121
-
(1860)
Journal für Die Reine und Angewandte Mathematik
, vol.57
, pp. 111-121
-
-
Borchardt, C.W.1
-
10
-
-
0001217760
-
A combinatorial proof of the all minors matrix tree theorem
-
S. Chaiken A combinatorial proof of the all minors matrix tree theorem SIAM Journal on Algebraic and Discrete Methods 3 1982 319 329
-
(1982)
SIAM Journal on Algebraic and Discrete Methods
, vol.3
, pp. 319-329
-
-
Chaiken, S.1
-
14
-
-
0039634393
-
On the proximity measure for graph vertices provided by the inverse Laplacian characteristic matrix
-
Georgia State University Atlanta
-
P.Y. Chebotarev, and E.V. Shamis On the proximity measure for graph vertices provided by the inverse Laplacian characteristic matrix 5th Conference of the International Linear Algebra Society 1995 Georgia State University Atlanta 30 31
-
(1995)
5th Conference of the International Linear Algebra Society
, pp. 30-31
-
-
Chebotarev, P.Y.1
Shamis, E.V.2
-
15
-
-
84902030030
-
The matrix-forest theorem and measuring relations in small social groups
-
P.Y. Chebotarev, and E.V. Shamis The matrix-forest theorem and measuring relations in small social groups Automation and Remote Control 58 1997 1505 1514
-
(1997)
Automation and Remote Control
, vol.58
, pp. 1505-1514
-
-
Chebotarev, P.Y.1
Shamis, E.V.2
-
22
-
-
0041467980
-
-
Report from the Department of Mathematics and Statistics 94-4, McGill University, Montreal, Queb., Canada
-
S.W. Drury, G.P.H. Styan, G.E. Subak-Sharpe, On spanning trees and terminal weight numbers, Report from the Department of Mathematics and Statistics 94-4, McGill University, Montreal, Queb., Canada, 1994
-
(1994)
On Spanning Trees and Terminal Weight Numbers
-
-
Drury, S.W.1
Styan, G.P.H.2
Subak-Sharpe, G.E.3
-
24
-
-
0040017435
-
Moore-Penrose involutions in the classes of Laplacians and simplices
-
M. Fiedler Moore-Penrose involutions in the classes of Laplacians and simplices Linear and Multilinear Algebra 39 1995 171 178
-
(1995)
Linear and Multilinear Algebra
, vol.39
, pp. 171-178
-
-
Fiedler, M.1
-
25
-
-
0040820994
-
W-basi&0301;ch orientovaných grafů
-
M. Fiedler, and J. Sedláček W-basi&0301;ch orientovaných grafů Časopis Pěst. Mat. 83 1958 214 225
-
(1958)
Časopis Pěst. Mat.
, vol.83
, pp. 214-225
-
-
Fiedler, M.1
Sedláček, J.2
-
26
-
-
38249004197
-
Determinants of Laplacians on graphs
-
R. Forman Determinants of Laplacians on graphs Topology 32 1993 35 46
-
(1993)
Topology
, vol.32
, pp. 35-46
-
-
Forman, R.1
-
27
-
-
0007046585
-
-
second ed., Nauka, Moscow, 1966. (The first edition translated as: The Theory of Matrices, Chelsea, New York, 1959.)
-
F.R. Gantmacher, Teoriya Matrits, second ed., Nauka, Moscow, 1966. (The first edition translated as: The Theory of Matrices, Vols. I and II, Chelsea, New York, 1959.)
-
Teoriya Matrits
, vol.1-2
-
-
Gantmacher, F.R.1
-
29
-
-
0038040764
-
A modified Leverrier-Faddeev algorithm for matrices with multiple eigenvalues
-
J.C. Gower A modified Leverrier-Faddeev algorithm for matrices with multiple eigenvalues Linear Algebra Appl. 31 1980 61 70
-
(1980)
Linear Algebra Appl.
, vol.31
, pp. 61-70
-
-
Gower, J.C.1
-
30
-
-
0003780715
-
-
Addison-Wesley Reading, MA
-
F. Harary Graph Theory 1969 Addison-Wesley Reading, MA
-
(1969)
Graph Theory
-
-
Harary, F.1
-
32
-
-
0016972069
-
More on the Souriau-Frame algorithm and the Drazin inverse
-
R.E. Hartwig More on the Souriau-Frame algorithm and the Drazin inverse SIAM Journal on Applied Mathematics 31 1976 42 46
-
(1976)
SIAM Journal on Applied Mathematics
, vol.31
, pp. 42-46
-
-
Hartwig, R.E.1
-
34
-
-
26744432318
-
-
Rutcor Research Report 47-99, Rutgers Center for Operations Research, Rutgers University, Piscataway NJ
-
A. Kelmans, I. Pak, A. Postnikov, Tree and forest volumes of graphs, Rutcor Research Report 47-99, Rutgers Center for Operations Research, Rutgers University, Piscataway NJ, 1999
-
(1999)
Tree and Forest Volumes of Graphs
-
-
Kelmans, A.1
Pak, I.2
Postnikov, A.3
-
35
-
-
0011552122
-
The number of trees in a graph I, II
-
27 (1966) 233-241
-
A.K. Kel'mans, The number of trees in a graph I, II, Automation and Remote Control 26 (1965) 2118-2129, 27 (1966) 233-241
-
(1965)
Automation and Remote Control
, vol.26
, pp. 2118-2129
-
-
Kel'Mans, A.K.1
-
36
-
-
0040820990
-
On the properties of the characteristic polynomial of a graph
-
A.I. Berg, Energiya Moscow-Leningrad in Russian
-
A.K. Kelmans On the properties of the characteristic polynomial of a graph A.I. Berg, Kibernetiku - na sluzhbu kommunizmu (Cybernetics Should Serve Communism) vol. 4 1967 Energiya Moscow-Leningrad 27 41 in Russian
-
(1967)
Kibernetiku - Na Sluzhbu Kommunizmu (Cybernetics Should Serve Communism)
, vol.4
, pp. 27-41
-
-
Kelmans, A.K.1
-
37
-
-
0040555950
-
A certain polynomial of a graph and graphs with an extremal number of trees
-
A.K. Kelmans, and V.M. Chelnokov A certain polynomial of a graph and graphs with an extremal number of trees J. Combin. Theory, Series B 16 1974 197 214
-
(1974)
J. Combin. Theory, Series B
, vol.16
, pp. 197-214
-
-
Kelmans, A.K.1
Chelnokov, V.M.2
-
38
-
-
0033413735
-
On group inverses of M-matrices with uniform diagonal entries
-
S.J. Kirkland, and M. Neumann On group inverses of M-matrices with uniform diagonal entries Linear Algebra Appl. 296 1999 153 170
-
(1999)
Linear Algebra Appl.
, vol.296
, pp. 153-170
-
-
Kirkland, S.J.1
Neumann, M.2
-
39
-
-
0031536270
-
Distances in weighted trees and group inverse of Laplacian matrices
-
S.J. Kirkland, M. Neumann, and B.L. Shader Distances in weighted trees and group inverse of Laplacian matrices SIAM J. Matrix Anal. Appl. 18 1997 827 841
-
(1997)
SIAM J. Matrix Anal. Appl.
, vol.18
, pp. 827-841
-
-
Kirkland, S.J.1
Neumann, M.2
Shader, B.L.3
-
40
-
-
0141531548
-
Block diagonalization
-
J.J. Koliha Block diagonalization Mathematica Bohemica 126 2001 237 246
-
(2001)
Mathematica Bohemica
, vol.126
, pp. 237-246
-
-
Koliha, J.J.1
-
42
-
-
0542362476
-
The Markov chain tree theorem
-
Laboratory of Computer Science, MIT, Cambridge, MA
-
T. Leighton, R.L. Rivest, The Markov chain tree theorem, Computer Science Technical Report MIT/LCS/TM-249, Laboratory of Computer Science, MIT, Cambridge, MA, 1983
-
(1983)
Computer Science Technical Report MIT/LCS/TM-249
-
-
Leighton, T.1
Rivest, R.L.2
-
45
-
-
0011511859
-
Matrices, digraphs, and determinants
-
J.S. Maybee, D.D. Olesky, P. van den Drissche, and G. Wiener Matrices, digraphs, and determinants SIAM J. Matrix Anal. Appl. 10 1989 500 519
-
(1989)
SIAM J. Matrix Anal. Appl.
, vol.10
, pp. 500-519
-
-
Maybee, J.S.1
Olesky, D.D.2
Van Den Drissche, P.3
Wiener, G.4
-
47
-
-
0040946858
-
Doubly stochastic graph matrices II
-
R. Merris Doubly stochastic graph matrices II Linear and Multilinear Algebra 45 1998 275 285
-
(1998)
Linear and Multilinear Algebra
, vol.45
, pp. 275-285
-
-
Merris, R.1
-
48
-
-
0016057769
-
Limits and the index of a square matrix
-
C.D. Meyer Jr. Limits and the index of a square matrix SIAM J. Appl. Math. 26 1974 469 478
-
(1974)
SIAM J. Appl. Math.
, vol.26
, pp. 469-478
-
-
Meyer, C.D.1
-
49
-
-
0016534380
-
The role of the group generalized inverse in the theory of finite Markov chains
-
C.D. Meyer Jr. The role of the group generalized inverse in the theory of finite Markov chains SIAM Review 17 1975 443 464
-
(1975)
SIAM Review
, vol.17
, pp. 443-464
-
-
Meyer, C.D.1
-
50
-
-
0008284981
-
Singular M-matrices and inverse positivity
-
C.D. Meyer Jr., and M.W. Stadelmaier Singular M-matrices and inverse positivity Linear Algebra Appl. 22 1978 139 156
-
(1978)
Linear Algebra Appl.
, vol.22
, pp. 139-156
-
-
Meyer, C.D.1
Stadelmaier, M.W.2
-
51
-
-
0043209355
-
A generalization of the all minors matrix tree theorem to semirings
-
M. Minoux A generalization of the all minors matrix tree theorem to semirings Discrete Mathematics 199 1999 139 150
-
(1999)
Discrete Mathematics
, vol.199
, pp. 139-150
-
-
Minoux, M.1
-
52
-
-
84969123815
-
-
Canadian Mathematical Congress Montreal
-
J.W. Moon Counting Labelled Trees 1970 Canadian Mathematical Congress Montreal
-
(1970)
Counting Labelled Trees
-
-
Moon, J.W.1
-
53
-
-
0039634392
-
Some determinant expansions and the matrix-tree theorem
-
J.W. Moon Some determinant expansions and the matrix-tree theorem Discrete Mathematics 124 1994 163 171
-
(1994)
Discrete Mathematics
, vol.124
, pp. 163-171
-
-
Moon, J.W.1
-
54
-
-
84975492121
-
Counting k-component forests of a graph
-
W. Myrvold Counting k-component forests of a graph Networks 22 1992 647 652
-
(1992)
Networks
, vol.22
, pp. 647-652
-
-
Myrvold, W.1
-
55
-
-
0010778239
-
The solution of passive electrical networks by means of mathematical trees
-
W.S. Percival The solution of passive electrical networks by means of mathematical trees Proceedings of the Institute of Electrical Engineers 100 1953 143 150
-
(1953)
Proceedings of the Institute of Electrical Engineers
, vol.100
, pp. 143-150
-
-
Percival, W.S.1
-
56
-
-
0000162904
-
How to get a perfectly random sample from a generic Markov chain and generate a random spanning tree of a directed graph
-
J.G. Propp, and D.B. Wilson How to get a perfectly random sample from a generic Markov chain and generate a random spanning tree of a directed graph J. Algorithms 27 1998 170 217
-
(1998)
J. Algorithms
, vol.27
, pp. 170-217
-
-
Propp, J.G.1
Wilson, D.B.2
-
57
-
-
0040306892
-
Computation of the eigenprojection of a nonnegative matrix at its spectral radius
-
U.G. Rothblum Computation of the eigenprojection of a nonnegative matrix at its spectral radius Mathematical Programming Study 6 1976 188 201
-
(1976)
Mathematical Programming Study
, vol.6
, pp. 188-201
-
-
Rothblum, U.G.1
-
58
-
-
0009708499
-
A representation of the Drazin inverse and characterizations of the index
-
U.G. Rothblum A representation of the Drazin inverse and characterizations of the index SIAM J. Appl. Math. 31 1976 646 648
-
(1976)
SIAM J. Appl. Math.
, vol.31
, pp. 646-648
-
-
Rothblum, U.G.1
-
59
-
-
0040532600
-
Expansions of sums of matrix powers
-
U.G. Rothblum Expansions of sums of matrix powers SIAM Review 23 1981 143 164
-
(1981)
SIAM Review
, vol.23
, pp. 143-164
-
-
Rothblum, U.G.1
-
60
-
-
0038905699
-
Resolvent expansions of matrices and applications
-
U.G. Rothblum Resolvent expansions of matrices and applications Linear Algebra Appl. 38 1981 33 49
-
(1981)
Linear Algebra Appl.
, vol.38
, pp. 33-49
-
-
Rothblum, U.G.1
-
61
-
-
77953270969
-
The adjoint of the characteristic matrix of a graph
-
A.J. Schwenk The adjoint of the characteristic matrix of a graph J. Combin., Inform. Syst. Sci. 16 1991 87 92
-
(1991)
J. Combin., Inform. Syst. Sci.
, vol.16
, pp. 87-92
-
-
Schwenk, A.J.1
-
62
-
-
0040820993
-
Graph-theoretic interpretation of the generalized row sum method
-
E.V. Shamis Graph-theoretic interpretation of the generalized row sum method Mathematical Social Sciences 27 1994 321 333
-
(1994)
Mathematical Social Sciences
, vol.27
, pp. 321-333
-
-
Shamis, E.V.1
-
63
-
-
0347739574
-
On the change of systems of independent variables
-
Collected Math. Papers, Cambridge 2 (1908) 65-85
-
J.J. Sylvester, On the change of systems of independent variables, Quart. J. Pure Appl. Math. 1 (1857) 42-56, reprinted in: Collected Math. Papers, Cambridge 2 (1908) 65-85
-
(1857)
Quart. J. Pure Appl. Math.
, vol.1
, pp. 42-56
-
-
Sylvester, J.J.1
-
64
-
-
84946454140
-
The dissection of equilateral triangles into equilateral triangles
-
W.T. Tutte The dissection of equilateral triangles into equilateral triangles Proceedings of the Cambridge Philosophical Society 44 1948 463 482
-
(1948)
Proceedings of the Cambridge Philosophical Society
, vol.44
, pp. 463-482
-
-
Tutte, W.T.1
-
65
-
-
0003702909
-
-
Addison-Wesley Reading, MA
-
W.T. Tutte Graph Theory 1984 Addison-Wesley Reading, MA
-
(1984)
Graph Theory
-
-
Tutte, W.T.1
-
66
-
-
0039648263
-
A characterization and representation of the Drazin inverse
-
Y. Wei A characterization and representation of the Drazin inverse SIAM J. Matrix Anal. Appl. 17 1996 744 747
-
(1996)
SIAM J. Matrix Anal. Appl.
, vol.17
, pp. 744-747
-
-
Wei, Y.1
-
67
-
-
0034497152
-
The representation and approximation for Drazin inverse
-
Y. Wei, and H. Wu The representation and approximation for Drazin inverse J. Comp. Appl. Math. 126 2000 417 432
-
(2000)
J. Comp. Appl. Math.
, vol.126
, pp. 417-432
-
-
Wei, Y.1
Wu, H.2
-
68
-
-
0035885373
-
A characterization of the Drazin inverse
-
L. Zhang A characterization of the Drazin inverse Linear Algebra Appl. 335 2001 183 188
-
(2001)
Linear Algebra Appl.
, vol.335
, pp. 183-188
-
-
Zhang, L.1
-
69
-
-
84969197001
-
-
AMS, Providence, RI
-
J.H.M. Wedderburn, Lectures on Matrices, Colloq. Publ., vol. 17, AMS, Providence, RI, 1934
-
(1934)
Lectures on Matrices, Colloq. Publ.
, vol.17
-
-
Wedderburn, J.H.M.1
|