Articles published by Russell Merris

(1970)

1. Partitioned hermitian matrices, J. Research (NBS) 74B (1970), 45-46.

(1971)

2. A generalization of the associated transformation, Linear Algebra Appl. 4 (1971), 393-406.

3. A class of representations of the full linear group (with S. Pierce), J. Algebra 17 (1971), 346-351.

4. An improvement of the Fischer inequality, J. Research (NBS) 75B (1971), 77-80.

5. Trace functions I, Duke Math. J. 38 (1971), 527-530.

(1972)

6. The Bell numbers and r-fold transitivity (with S. Pierce), J. Combinatorial Theory 12 (1972), 155-157.

7. Monotonicity of positive semidefinite hermitian matrices (with S. Pierce), Proc. Amer. Math. Soc. 31 (1972), 437-440.

8. A dominance theorem for partitioned hermitian matrices, Trans. Amer. Math. Soc. 164 (1972), 341-352.

9. Antiderivations on the exterior and symmetric algebras (with M. Marcus), Linear Algebra Appl. 5 (1972), 13-18.

10. Inequalities for matrix functions, J. Algebra 22 (1972), 451-460.

11. Abstract groups as doubly transitive permutation groups, J. Research (NBS) 76B (1972), 45-50.

(1973)

12. A relation between the permanental and determinantal adjoints (with M. Marcus), J. Australian Math. Soc. 15 (1973), 270-271.

13. An explicit isomorphism with applications to inequalities for matrix functions (with M. Newman), J. Algebra 25 (1973), 468-474.

14. Elementary divisors of higher degree associated transformations (with S. Pierce), Linear & Multilinear Algebra 1 (1973), 241-250.

15. Character induced subgroups (with W. Watkins), J. Research (NBS) 77B (1973), 93-99.

16. The permanent of a doubly stochastic matrix, Amer. Math. Monthly 80 (1973), 791-793.

(1974)

17. Convex sets of doubly stochastic matrices (with W. Watkins), J. Combinatorial Theory 16 (1974), 129-130.

18. An inequality for positive semidefinite hermitian matrices, Canadian Math. Bull. 17 (1974), 131-132.

19. An identity for matrix functions, Pacific J. Math. 50 (1974), 557-562.

20. The dimensions of certain symmetry classes of tensors (with M. Rashid), Linear & Multilinear Algebra 2 (1974), 245-248.

21. On characters of subgroups, J. Research (NBS) 78B (1974), 35-38.

22. An identity involving generalized matrix functions, Linear & Multilinear Algebra 2 (1974), 123-125.

(1975)

23. The irreducibility of K(A), Linear & Multilinear Algebra 3 (1975), 299-303.

24. Generalized Schur functions (with J. A. D. da Silva), J. Algebra 35 (1975), 442-448.

25. Two problems involving Schur functions, Linear Algebra Appl. 10 (1975), 155-162.

26. Equality of decomposable symmetrized tensors, Canadian J. Math. 27 (1975), 1022-1024.

27. Symmetry classes of tensors, Proceedings of the International Conference of Mathematical Sciences, July 14-20, 1975, Hamdard National Foundation, Karachi, Pakistan, 19pp.

(1976)

28. Relations among generalized matrix functions, Pacific J. Math. 62 (1976), 153-161.

29. The structure of higher degree symmetry classes of tensors, J. Research (NBS) 80B (1976), 259-264.

30. The Kronecker power of a permutation, J. Research (NBS) 80B (1976), 265-268.

31. The dimensions of certain symmetry classes of tensors II, Linear & Multilinear Algebra 4 (1976), 205-207.

(1977)

32. Nonzero decomposable symmetrized tensors, Linear Algebra Appl. 17 (1977), 287-292.

33. On Burnside's theorem, J. Algebra 48 (1977), 214-215.

34. On vanishing decomposable symmetrized tensors, Linear & Multilinear Algebra 5 (1977), 79-86.

(1978)

35. Applications of spherical functions in multilinear algebra, Linear Algebra Appl. 20 (1978), 77-86.

36. The structure of higher degree symmetry classes of tensors II, Linear & Multilinear Algebra 6 (1978), 171-178.

37. Linearly independent permutation characters afforded by action on tensor spaces, Linear & Multilinear Algebra 6 (1978), 263-267.

38. Subgroups normal modulo the zeros of an irreducible character, Karachi Math. Assoc. RIAZI (1978), 1-7.

39. Derivatives of induced operators on symmetry classes of tensors, Tamkang J. Math. 9 (1978), 85-91.

(1979)

40. Inequalities involving the inverses of positive definite matrices, Proc. Edinburgh Math. Soc. 22 (1979), 11-15.

41. Matrix functions afforded by entries of unitary representations (with M. Ishaq), Linear Algebra Appl. 25 (1979), 255-269.

42. On the pseudocharacteristic polynomial of K. Bogart and J. Gordon, Linear & Multilinear Algebra 7 (1979), 237-239.

43. Recent advances in symmetry classes of tensors, Linear & Multilinear Algebra 7 (1979), 317-328.

44. Generalized matrix functions: A research problem, Linear & Multilinear Algebra 8 (1979), 83-86.

(1980)

45. Pattern inventories associated with symmetry classes of tensors, Linear Algebra Appl. 29 (1980), 225-230.

46. Manifestations of Polya's counting theorem, Linear Algebra Appl. 32 (1980), 209-234.

(1981)

47. Irreducibility of associated matrices (with M. Fiedler), Linear Algebra Appl. 37 (1981), 1-10.

48. Polya's counting theorem via tensors, Amer. Math. Monthly 88 (1981), 179-185.

49. Permanental polynomials of graphs (with K. R. Rebman and W. Watkins), Linear Algebra Appl. 38 (1981), 273-288.

50. Elementary divisors of induced transformations on symmetry classes of tensors (with W. Watkins), Linear Algebra Appl. 38 (1981), 17-26.

51. Induced bases of symmetry classes of tensors, Linear Algebra Appl. 39 (1981), 103-110.

(1982)

52. Representations of GL(n,R) and generalized matrix functions of class MPW, Linear & Multilinear Algebra 11 (1982), 133-141.

53. Majorization of characters of the symmetric group, Discrete Math. 39 (1982), 167-169.

54. The Laplacian permanental polynomial for trees, Czech J. Math. 32 (1982), 397-403.

55. Extensions of the Minkowski determinant theorem, Portugaliae Math. 38 (1979), 149-153.

(1983)

56. Generalized matrix functions and pattern inventory, Linear & Multilinear Algebra 12 (1983), 315-327.

57. Single-hook characters and Hamiltonian circuits, Linear & Multilinear Algebra 14 (1983), 21-35.

58. Tensors and graphs (with W. Watkins), SIAM J. Algebraic & Discrete Methods 4 (1983), 434-447.

59. Extensions of the Hadamard determinant theorem, Israel J. Math. 46 (1983), 301-304.

(1984)

60. An invariant theory approach to graph enumeration (with W. Watkins), Linear Algebra Appl. 61 (1984), 277-285.

61. Problems concerning permanental polynomials of graphs (with M. Ishaq and E. Zaslawsky), Linear & Multilinear Algebra 15 (1984), 345-350.

62. An algorithm for the second immanant (with R. Grone), Math. Comp. 43 (1984), 589-591.

(1985)

63. Inequalities and identities for generalized matrix functions (with W. Watkins), Linear Algebra Appl. 64 (1985), 223-242.

(1986)

64. The second immanantal polynomial and the centroid of a graph, SIAM J. Algebraic & Discrete Methods 7 (1986), 484-503.

65. A Hadamard dominance theorem for a class of immanants (with R. Grone and W. Watkins), Linear & Multilinear Algebra 19 (1986), 167-171.

66. Inequalities involving immanants and diagonal products for H-matrices and positive definite matrices (with C. R. Johnson and S. Pierce), Portugaliae Math. 43 (1985-86), 43-54.

(1987)

67. The permanental dominance conjecture, Current Trends in Matrix Theory (F. Uhlig and R. Grone, eds.), Elsevier, NY, 1987, pp 213-223.

68. A Fischer inequality for the second immanant (with R. Grone), Linear Algebra Appl. 87 (1987), 77-83.

69. Oppenheim's inequality for the second immanant, Canad. Math. Bull. 30 (1987), 367-369.

70. Conjectures on permanents (with R. Grone), Linear & Multilinear Algebra 21 (1987), 419-427.

71. A Hadamard inequality for the second immanant (with R. Grone), J. Algebra 111 (1987), 343-346.

72. A Hadamard inequality for the third and fourth immanants (with R. Grone), Linear & Multilinear Algebra 21 (1987), 201-209.

73. Characteristic vertices of trees, Linear & Multilinear Algebra 22 (1987), 115-131.

74. Algebraic connectivity of trees (with R. Grone), Czech J. Math. 37 (1987), 660-670.

(1988)

75. A bound for the complexity of a simple graph (with R. Grone), Discrete Math. 69 (1988), 97-99.

76. Cones in the group algebra related to Schur's determinantal inequality (with R. Grone and W. Watkins), Rocky Mtn. J. Math. 18 (1988), 137-146.

77. Cutpoints, lobes, and the spectra of graphs (with R. Grone), Portugaliae Math. 45 (1988), 181-188.

(1989)

78. An edge version of the matrix-tree theorem and the Wiener index, Linear & Multilinear Algebra 25 (1989), 291-296.

(1990)

79. The Laplacian spectrum of a graph (with R. Grone and V. S. Sunder), SIAM J. Matrix Analysis Appl. 11 (1990), 218-238.

80. Coalescence, majorization, edge valuations and the Laplacian spectra of graphs (with R. Grone), Linear & Multilinear Algebra 27 (1990), 139-146.

81. The distance spectrum of a tree, J. Graph Theory 14 (1990), 365-369.

82. The age of the solar system (pseudonym Winston Phrobis), College Math. J. 21 (1990), 399-400.

83. Ordering trees by algebraic connectivity (with R. Grone), Graphs & Combinatorics 6 (1990), 229-237.

(1991)

84. Almost all trees are coimmanantal, Linear Algebra Appl. 150 (1991), 61-66.

85. Independent sets for irreducible characters of finite groups, Linear & Multilinear Algebra 29 (1991), 315-317.

86. The number of eigenvalues greater than 2 in the Laplacian spectrum of a graph, Portugaliae Math. 48 (1991), 345-349.

(1992)

87. Unimodular equivalence of graphs, Linear Algebra Appl. 173 (1992), 181-189.

88. Applications of multilinear algebra, Linear & Multilinear Algebra 32 (1992), 211-224.

89. Laplacian permanents of trees (with P. Botti and C. Vega), SIAM J. Discrete Math. 5 (1992), 460-466.

(1993)

90. Almost all trees share a complete set of immanantal polynomials (with P. Botti), J. Graph Theory 17 (1993), 467-476.

91. Laplacian unimodular equivalence of graphs (with R. Grone and W. Watkins), Combinatorial and Graph-Theoretic Problems in Linear Algebra (R. Brualdi, S. Friedland and V. Klee, eds.), IMA Volumes in Mathematics and Its Applications 50, Springer-Verlag, NY, 1993, pp 175-180.

92. Orthogonality of immanants, Portugaliae Math. 50 (1993), 489-495.

(1994)

93. Laplacian matrices of graphs: a survey, Linear Algebra Appl. 197&198 (1994), 143-176.

94. An inequality for eigenvalues of symmetric matrices with applications to max-cuts and graph energy, Linear & Multilinear Algebra 36 (1994), 225-229.

95. Degree maximal graphs are Laplacian integral, Linear Algebra Appl. 199 (1994), 381-389.

96. The Laplacian spectrum of a graph II (with R. Grone), SIAM J. Discrete Math. 7 (1994), 221-229.

97. A note on unimodular congruence of graphs, Linear Algebra Appl. 201 (1994), 57-60.

(1995)

98. A survey of graph Laplacians, Linear & Multilinear Algebra 39 (1995), 19-31.

(1996)

99. Threshold graphs, Proceedings of the Prague Mathematical Conference 1996, ICARIS Ltd., Prague, 205-210.

(1997)

100. Doubly stochastic graph matrices, Publ. Elektrotech. Fak. Univ. Beograd 8 (1997), 64-71.

101. The Wiener number as an immanant of the Laplacian of molecular graphs (with O. Chan and T.-K. Lam), J. Chem. Inf. & Comp. Sci. 37 (1997), 762-765.

102. Large families of Laplacian isospectral graphs, Linear & Multilinear Algebra 43 (1997), 201-205.

(1998)

103. Algebraic connections between topological indices (with O. Chan, I. Gutman, and T.-K. Lam), J. Chem. Inf. & Comp. Sci. 38 (1998), 62-65.

104. Laplacian graph eigenvectors, Linear Algebra Appl. 278 (1998), 221-236.

105. A note on Laplacian graph eigenvalues, Linear Algebra Appl. 285 (1998), 33-35.

106. Doubly stochastic graph matrices, ii, Linear & Multilinear Algebra 45 (1998), 275-285.

(1999)

107. Note: An upper bound for the diameter of a graph, SIAM J. Discrete Math. 12 (1999), 412.

(2000)

108. The p-Stirling numbers, Turk. J. Math. 24 (2000), 379-399.

109. The number of high-energy bands in the photoelectron spectrum of alkanes (with I. Gutman), Zeit. Naturforschung 55a (2000), 973-977.

(2003)

110. Split graphs, Europ. J. Comb. 24 (2003), 413-430.

111. Antiregular graphs are universal for trees, Publ. Elektrotehn. Fak. Univ. Beograd 14 (2003), 1-3.

(2005)

112. The lattice of threshold graphs (with Tom Roby), J. Inequalities Pure & Appl. Math. 6 [Issue 1, Article 2] (2005), 21 pp.

113. Immanantal invariants of graphs, Linear Algebra Appl. 401 (2005), 67-75.

(2006)

114. Observations concerning split graphs, Textos de Matematica 39, Dept. Mat., Univ. de Coimbra, 2006, pp 107-114.

(2008)

115. Indecomposable Laplacian Integral Graphs (with R. Grone), Linear Algebra Appl. 428 (2008), 1565-1570.