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dr hab. Iwona Włoch

Publikacje

Dr hab. Iwona Włoch, prof. PRz

Publikacje:

  1. M. Kwaśnik, A. Włoch, I. Włoch, Some remarks about (k,l)-kernels in directed and undirected graphs, Discussiones Mathematicae 13 (1993) 29-37.

  2. I. Włoch, Generalized exponents of the disjunction of two directed graphs, Zesz. Nauk. PRz., ser. Mat. 17 T.118 (1993) 91-95.

  3. A. Włoch, I. Włoch, On (k,l)-kernel minimal graphs, Zesz. Nauk. PRz., ser. Mat. 15 (1994) 99-106.

  4. I. Włoch, Minimal Hamiltonian graphs having a strong (k,k-2)-kernel, Zesz. Nauk. PRz., ser. Mat. 15 T.127 (1994) 93-98.

  5. A. Włoch, I. Włoch, (k,l)-kernels in products of n digraphs, Zesz. Nauk. PRz.,ser. Mat., 17 T.134 (1995) 61-65.

  6. I. Włoch, Note about (k,l)-kernels in B-product of graphs, Discussiones Mathematica - Graph Theory, 16 (1996) 119-122.

  7. A. Włoch, I. Włoch, On (k,l)-kernels in generalized products, Discrete Mathematics 164 (1997) 295-301.

  8. I. Włoch, Uogólnione zbiory stabilne i dominujące w wybranych klasach grafów, Rozprawa doktorska, Wrocław 1998.

  9. M. Startek, I. Włoch, The number of all stable sets in some classes of graphs, Zesz. Nauk. PRz., ser. Mat. 23 (1999) 117-123.

  10. M. Kwaśnik, I. Włoch, The total number of generalized stable sets and kernels of graphs, Ars Combinatoria 55 (2000) 139-146.

  11. Startek, I. Włoch, On the number of all stable sets in special kinds of trees, Zesz. Nauk. PRz., ser. Mat. 181(24) (2000), 125-130.

  12. Startek, I. Włoch, The total number of stable sets in some classes of trees, Zesz. Nauk. PRz., ser. Mat. 24 (2000) 131-135.

  13. I. Włoch, Generalized Fibonacci polynomial of graph, Ars Combinatoria 68 (2003) 49-55.

  14. A. Włoch, I. Włoch, The total number of maximal k-independent sets in the generalized lexicographical product of graphs, Ars Combinatoria 75 (2005) 163-170.

  15. D. Bród, A. Włoch, I. Włoch, On the existence of (k,k-1)-kernels in directed graphs, Journal of Mathematics and Applications, 28 (2006) 7-12.

  16. M. Startek, A. Włoch, I. Włoch, Fibonacci numbers of trees, Journal of Mathematics and Applications, 28 (2006) 137-146.

  17. A. Włoch, I. Włoch, Monochromatic Fibonacci Numbers of Graphs, Ars Combinatoria 82 (2007) 125-132.

  18. I. Włoch, On imp-sets and kernels by monochromatic paths in duplication, Ars Combinatoria 83 (2007) 93-99.

  19. I. Włoch, A. Włoch The number of independent sets intersecting the set of leaves in trees, Ars Combinatoria 85 (2007) 225-231.

  20. I. Włoch, A. Włoch On the number of k-independent sets in some products of graphs, International Journal of Pure and Applied Mathematics , 39 (2) (2007) 165- 171.

  21. W. Szumny, A. Włoch, I. Włoch, On (k,l)-kernels in D-join of digraphs, Discussiones Mathematica - Graph Theory 27 (2007) 457-470.

  22. I. Włoch, A. Włoch On k-independent sets in special products of graphs, International Journal of Pure and Applied Mathematics, 40 (2) (2007) 257-263.

  23. I. Włoch On kernels by monochromatic paths in the corona of digraphs, Central European Journal of Mathematics, 6 (4) (2008) 537-542.

  24. I. Włoch, Trees with extremal numbers of maximal independent sets including the set of leaves, Discrete Mathematics 308 (2008) 4768-4772.

  25. W. Szumny, A. Włoch, I. Włoch, On the existence and on the number of (k,l)-kernels in lexicographic product of graphs, Discrete Mathematics 308 (2008) 4616-4624.

  26. I. Włoch Some operations of graphs that preserve the property of well-covered by monochromatic paths, Australasian Journal of Combinatorics, 40 (2008) 229-236.

  27. I. Włoch Bounds of the number of imp-sets in edge-colured graphs, International Journal of Pure and Applied Mathematics, 43 (3) (2008) 361- 366.

  28. I. Włoch Some covering by monochromatic paths concepts in graphs, Far East Journal of Applied Mathematics, 33 (1) (2008) 1-17.

  29. I. Włoch Parameters of independence and domination by monochromatic paths of graphs, Australasian Journal of Combinatorics, 42 (2008) 301-307.

  30. I. Włoch On generalized Pell numbers and their graph representations, Commentationes Mathematicae, 48 (2) (2008) 169-175.

  31. Z. Machnicka, A. Włoch, I. Włoch, Bounds of the Hosoya index in graphs, AKCE International Journal of Graphs and Combinatorics, 5 (2) (2008) 185-191.

  32. M.Startek, A. Włoch, I. Włoch, Fibonacci numbers and Lucas numbers in graphs, Discrete Applied Mathematics, 157 (2009) 864-868.

  33. D. Bród, I. Włoch, A. Włoch, On the number of minimal dominating sets including the set of leavs in trees, Int. J. Contem. Math. Science, 35 (4) (2009) 1739-1748.

  34. I. Włoch, A. Włoch, On (k,l)-kernels in the corona of digraphs, International Journal of Pure and Applied Mathematics, 53 (4) (2009) 571-582.

  35. A. Włoch, I. Włoch, Generalized sequences and independent sets in graphs, Discrete Applied Mathematics 158 (17) (2010) 1966-1970.

  36. I. Włoch, A. Włoch, Generalized Pell numbers, graphs representations and independent sets, Australasian Journal of Combinatorics, 46 (2010), 211–215.

  37. I. Włoch, The extremal numbers of L-free independent sets in trees, Int. J. Contem. Math. Science, 28 (5) (2010) 1365-1372.

  38. I. Włoch, A. Włoch, Unicyclic graphs with the extremal number of independent sets containing pendent vertices, Advances and Applications in Discrete Mathematics, 5 (2) (2010) 85-169.

  39. I. Włoch, On kernels by monochromatic paths in D-join, Ars Combinatoria, 98 (2011) 215-224.

  40. A. Włoch, I. Włoch, Generalized Padovan numbers, Perrin numbers and maximal k-independent sets in graphs, Ars Combinatoria, 99 (2011) 359-364.

  41. I. Włoch, A. Włoch, On parameters of independence, domination and irredundance in edge-colored graphs and their products, Journal of Mathematics and Applications, 35 (2012) 97-106.

  42. D. Bród, K. Piejko, I. Włoch, Distance Fibonacci numbers, distance Lucas numbers and their applications , Ars Combinatoria 112 (2013)  397-409.

  43. I. Włoch, U. Bednarz, D. Bród, A. Włoch, M. Wołowiec-Musiał, On a new type of distance Fibonacci numbers, Discrete Applied Mathematics, 161 16-17 (2013) 2695-2701.

  44. A. Szynal-Liana, I. Włoch, On distance Pell numbers and their connections with Fibonacci numbers, Ars Combinatoria 113A (2014)  65-75.

  45. A. Szynal-Liana, I. Włoch, A. Włoch, On generalized Pell numbers generated by Fibonacci and Lucas numbers, Ars Combinatoria 115 (2014)  411-423.

  46. K.Piejko, I.Włoch, On k-distance Pell numbers in 3-edge-coloured graphs, Journal of Applied Mathematics, vol. 2014 (2014) ID 428020, 6 pages.

  47. A. Szynal-Liana, I. Włoch, A. Włoch, On Types of Distance Fibonacci Numbers Generated by Number Decompositions, Journal of Applied Mathematics,Volume 2014 (2014), Article ID 491591, 8 pages.

  48. U. Bednarz, D. Bród, A. Włoch, I. Włoch, M. Wołowiec-Musiał, On three types of (2,k)- distance Fibonacci numbers and number decompositions,  Ars Combinatoria (2015).

  49. P. Bednarz, I. Włoch,  C. Hernandez-Cruz, On the existence and the number of (2-d)-kernels in graphs, Ars Combinatoria (2015).

  50. U. Bednarz, I. Włoch, M. Wołowiec-Musiał, Total Graph Interpretation of the Numbers of the Fibonacci Type, Journal of Applied Mathematics, (2015), Article ID 837917, 7 pages

  51. A. Szynal-Liana, I. Włoch, The Pell Quaternions and the Pell Octonions,Advances in Applied Clifford Algebras, 26 (2016) 435-440.

  52. A. Szynal-Liana, I. Włoch, A Note on Jacobsthal Quaternions,Advances in Applied Clifford Algebras, 26 (2016) 441-447.

  53. L.Trojnar-Spelina, I.Włoch, On Pell numbers and (k_1A_1,k_2A_2,k_3A_3)-edge coloring in graphs, Ars Combinatoria 125 (2016) 183-191.

  54. P. Bednarz, I. Włoch, An algorithm determining (2-d)-kernels in trees,  Utilitas Mathematica 102 (2017), 215-222.

  55. U. Bednarz, D. Bród, A. Szynal-Liana, I. Włoch, M. Wołowiec-Musiał, On Fibonacci numbers in edge coloured trees, Opuscula Math. 37, no. 4 (2017), 479-490.

  56. U. Bednarz, I. Włoch, Note about sequences of extremal (A,2B)-edge coloured trees, Annales UMCS, sec. A Vol LXXI No 2 (2017), 17-23.
  57. M. Liana, A. Szynal-Liana, I. Włoch, On F(p,n)-Fibonacci bicomplex numbers, Scientific Issues of Jan Długosz University in Czestochowa, Mathematics XXIII (2018), 35-44
  58. A. Szynal-Liana, I. Włoch, On Pell and Pell-Lucas Hybrid Numbers, Commentationes Mathematicae, vol.56, no 1-2 (2018), 11-17.
  59. A. Szynal-Liana, I. Włoch, On F(p,n)-Fibonacci Quaternions, Bulletin de la Societe des Sciences et des Lettres de Łódź, vol. LXVIII, no. 1 (2018), 131-140.
  60. N. Bednarz, A. Włoch, I. Włoch, The Fibonacci numbers in edge coloured unicyclic graphs, Utilitas Mathematica 106 (2018), 39-49.
  61. U. Bednarz, I. Włoch, Fibonacci and telephone numbers in extremal trees, Discussiones Mathematicae Graph Theory 28 (2018), 121-133.
  62. L. Trojnar-Spelina, I. Włoch, On Generalized Pell and Pell-Lucas Numbers, Iranian Journal of Science and Technology, Transactions A: Science, December 2019, Volume 43, Issue 6, pp 2871-2877.
  63. L. Trojnar-Spelina, I. Włoch, On new types of the companion Pell numbers, Ars Combinatoria 142 (2019), 221-230.
  64. A. Szynal-Liana, I. Włoch, The Fibonacci Hybrid numbers, Utilitas Mathematica 110 (2019), 3-10.
  65. A. Szynal-Liana, I. Włoch, On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers, Annales Mathematicae Silesianae 33 (2019), 276-283.
  66. M. Liana, A. Szynal-Liana, I. Włoch, On Pell hybrinomials, Miskolc Mathematical Notes Vol. 20 (2019), No. 2, pp. 1051-1062.
  67. M. Liana, A. Szynal-Liana, I. Włoch, On some kind of numbers of the Fibonacci type and their applications for bicomplex numbers, Bulletin de la Societe des Sciences et des Lettres de Łódź, vol. LXIX, no. 1 (2019), 129–138
  68. A. Szynal-Liana, I. Włoch, Generalized Fibonacci-Pell hybrinomials, Online Journal of Analytic Combinatorics, Issue 15 (2020), #14, 1-12
  69. A. Szynal-Liana, I. Włoch, Introduction to Fibonacci and Lucas hybrinomials, Complex Variables and Elliptic Equations vol. 65, no. 10 (2020), 1736-1747
  70. A. Szynal-Liana, I. Włoch, On generalized Mersenne hybrid numbers, Annales UMCS, sectio A, vol. LXXIV, no. 1 (2020), 77-84
  71. A. Szynal-Liana, I. Włoch, On Special Spacelike Hybrid Numbers, Mathematics 2020, 8(10), 1671, 1-10
  72. A. Szynal-Liana, I. Włoch, M. Liana, Some identities for generalized Fibonacci and Lucas numbers, AKCE International Journal of Graphs and Combinatorics, vol. 17, no. 1 (2020), 324-328
  73. A. Włoch, I. Włoch, On some multinomial sums related to the Fibonacci type numbers, Tatra Mountains Mathematical Publications, 77 (2020), 99-108
  74. D. Bród, A. Szynal-Liana, I. Włoch, On the combinatorial properties of bihyperbolic balancing numbers, Tatra Mountains Mathematical Publications, 77 (2020), 27-38
  75. D. Bród, A. Szynal-Liana, I. Włoch, Two generalizations of dual-hyperbolic balancing numbers, Symmetry 2020, 12(11), 1866, 1-11
  76. A. Michalski, I. Włoch, On the existence and the number of independent (1,2)-dominating sets in the G-join of graphs, Applied Mathematics and Computation 377 (2020)
  77. U. Bednarz, I. Włoch, On strong (1,1,2)-kernels in graphs, Ars Combinatoria, 152, 32-43, 2020.
  78. N. Paja, I. Włoch, Some interpretations of the (k; p)-Fibonacci numbers, Commentationes Mathematicae Universitatis Carolinae, 62,3 (2021) 297-307.
  79. V. Polishchuk, M. Kelemen, I. Włoch, A. Polishchuk, M. Sharkadi, Yu. Mlavets, Conceptual Model of Presentation of Fuzzy Knowledge. CEUR Workshop Proceedings, Vol.3018, 2021 – P.1-12.
  80. D. Bród, A. Szynal-Liana, I. Włoch, Balancing hybrid numbers, their properties and some identities, Indian Journal of Mathematics, vol. 63, no. 1 (2021), 143-157.
  81. D. Bród, A. Szynal-Liana, I. Włoch, On a new two-parameter generalization of dual-hyperbolic Jacobsthal numbers, Annales UMCS, sectio A, Vol 75, No 1 (2021), 1-14.
  82. D. Bród, A. Szynal-Liana, I. Włoch, On some combinatorial properties of bihyperbolic numbers of the Fibonacci type, Mathematical Methods in the Applied Sciences 2021; 44: 4607-4615.
  83. D. Bród, A. Szynal-Liana, I. Włoch, On a new generalization of bihyperbolic Pell numbers, Annals of the “Alexandru Ioan Cuza” University of Iaşi (New Series). Mathematics, LXVII, f.2, (2021), 251-260.
  84. D. Bród, A. Szynal-Liana, I. Włoch, On a new one-parameter generalization of dual-complex Jacobsthal numbers, Acta Univ. Sapientiae, Mathematica, 13, 1 (2021) 127-144.
  85. D. Bród, A. Szynal-Liana, I. Włoch, Bihyperbolic numbers of the Fibonacci type and their idempotent representation, Commentationes Mathematicae Universitatis Carolinae, 62,4 (2021) 409-416.
  86. U. Bednarz, I. Włoch, Fibonacci numbers in graphs with strong (1,1,2)-kernels, Bol. Soc. Mat. Mex. 27, 12 (2021).
  87. D. Bród, A. Szynal-Liana, I. Włoch, One-parameter generalization of dual-hyperbolic Pell numbers, Mathematica Slovaca 72 (2022), No. 2, 527-537.
  88. D. Bród, A. Szynal-Liana, I. Włoch, On some combinatorial properties of generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions, Czechoslovak Mathematical Journal, 72 (147) (2022), 1239–1248
  89. D. Bród, A. Szynal-Liana, I. Włoch, Two generalizations of dual-complex Lucas-balancing numbers, Acta Univ. Sapientiae Mathematica 14,2 (2022), 220-230.
  90. D. Bród, A. Szynal-Liana, I. Włoch, Two-parameter generalization of bihyperbolic Jacobsthal numbers, Proyecciones Journal of Mathematics, Vol. 41, No 3 (2022), 569-578.
  91. M. Liana, A. Szynal-Liana, I. Włoch, Jacobsthal representation hybrinomials, Annales Mathematicae Silesianae 36 (2022), no. 1, 57–70.
  92. A. Michalski, I. Włoch, M. Dettlaff, M. Lemańska, On proper (1,2)-dominating sets, Mathematical Methods in the Applied Sciences, 2022;45(11):7050-7057, https://doi.org/10.1002/mma.8223
  93. V. Polishchuk, M. Kelemen, I. Włoch, O. Tymoshenko, Y. Mlavets, The hybrid mathematical model for the evaluation and selection of iron ore raw materials in the context of the European Green Deal, Acta Montanistica Slovaca, Volume 27 (3), DOI: https://doi.org/10.46544/AMS.v27i3.01
  94. A. Szynal-Liana, I. Włoch, Generalized commutative quaternions of the Fibonacci type, Bol. Soc. Mat. Mex. 28, 1 (2022)
  95. A. Szynal-Liana, I. Włoch, A study on Fibonacci and Lucas bihypernomials, Discussiones Mathematicae - General Algebra and Applications 42(2) (2022), 409–423, https://doi.org/10.7151/dmgaa.1399
  96. A. Szynal-Liana, I. Włoch, M. Liana, On certain bihypernomials related to Pell and Pell-Lucas numbers, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 71, Issue 2 (2022), 422-433.
  97. A. Szynal-Liana, I. Włoch, M. Liana, Generalized commutative quaternion polynomials of the Fibonacci type, Annales UMCS, sectio A, Vol 76, No 2 (2022), 33-44.
  98. A. Kosiorowska, I. Włoch, On the Existence of Independent [j, k]-Dominating Sets in the Generalized Corona of Graphs, Symmetry 2023, 15, 802.

Publikacje książkowe:

  1. 1. A. Włoch, I. Włoch, Matematyka dyskretna – podstawowe metody i algorytmy teorii grafów, Oficyna Wydawnicza Prz, 2004.

  2. A. Szynal-Liana, I. Włoch, Hypercomplex numbers of the Fibonacci type, Oficyna Wydawnicza Politechniki Rzeszowskiej, Rzeszów, 2019
  3. A.Szynal-Liana, I.Włoch, Dziesięć wykładów z teorii kwaternionów, Oficyna Wydawnicza PRz, Rzeszów 2022.

 

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