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- A note on sets of type \((3,n)\) in \(\mathrm{PG}(3,q)\), 44-51. ,
- Graph embeddings with no hamiltonian extensions, 52-57. ,
- On \(\delta^{(k)}\)-coloring of graph products, 58-90. ,
- Safe-sweep number of graphs, 91-115. ,
- Total, equitable and neighbor-sum distinguishing total colorings of some classes of circulant graphs, 116-132. ,
- Zonal graphs revisited, 133-152. ,

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- A tale of two graphs, 30-42. ,
- A chessboard problem and irregular domination, 43-59. ,
- In the frame, 60-89. ,
- Odd harmonious labeling of the converse skew product of graphs, 90-110. ,
- On local antimagic chromatic number of a corona product graph, 111-121. ,
- On non-isomorphic biminimal pots realizing the cube, 122-139. ,
- The extended graphical and bigraphical generalized Steiner systems, 140-147. ,

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- A proof via Zeilberger’s algorithm of Boole’s formula for factorials, 47-53. ,
- A short note on Zeckendorf type numeration systems with negative digits allowed, 54-66. ,
- Global offensive \(k\)-alliances in digraphs, 67-82. ,
- Matrix approaches to constructions of group divisible designs, 83-105. ,
- Self-colorings of graphs, 106-116. ,
- Vertex-magic trees with \(n\) central vertices and \(kn\) leaves have bounded order for each \(k\) exceeding the square root of \(3\), 117-127. ,

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- An amalgamation of graceful and harmonious labelings, 53-67. ,
- Distance quasi-magic regular graphs and some applications, 68-83. ,
- \(4t\)-cycle decomposition of the \(2\)-fold tensor product \((K_m\times K_n)(2)\), 84-106. ,
- Peg solitaire on corona products, 107-118. ,
- Probabilistic zero forcing on grid, regular, and hypercube graphs, 119-133. ,

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- Degree-based topological descriptors of type \(3\) rectangular hex-derived networks, 21-37. ,
- Distance-\(k\) locating-dominating sets in graphs, 38-56. ,
- Edge odd graceful labelings of certain new classes of graphs, 57-69. ,
- Even orientations and pfaffian graphs, 70-83. ,
- Permanent dominance conjecture for derived partitions, 84-92. ,
- Some matrix constructions of \(L_2\)-type Latin square designs, 93-104. ,

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- An analysis and critique of the scoring method used for sport climbing at the 2020 Tokyo Olympics, 13-34. ,
- A note on a definite integral of combinatorial interest, 35-52. ,
- A note on the Buratti-Horak-Rosa conjecture about hamiltonian paths in complete graphs, 53-70. ,
- Corrigendum: Face-magic labelings of type \((a,b,c)\) from edge-magic labelings of type \(\alpha,\beta)\), 71-72. ,
- Missing blocks of two designs in Hanani's paper, 73-78. ,
- New symmetric \(2-(71,15,3)\) designs, 79-94. ,
- On the average (edge-)connectivity of minimally \(k\)-(edge-)connected graphs, 95-110. ,

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- Anton Kotzig, the founder of graph theory in Slovakia, 16-44. ,
- A note on almost partitioned difference families, 45-51. ,
- Decompositions of complete graphs into connected unicyclic bipartite graphs with seven edges, 52-80. ,
- Face-magic labelings of type \((a,b,c)\) from edge-magic labelings of type \((\alpha,\beta)\), 81-103. ,
- \((k,\ell)\)-kernels in \(P_m+e\), 104-118. ,
- The Steiner distance problem for large vertex subsets in the hypercube, 119-125. ,
- Uniformly resolvable decompositions of \(K_n\) into \(1\)-factors and \(P_k\)-factors, 126-142. ,

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- Chaotic and euclidean rhythms, 40-49. ,
- Decompositions of complete graphs and complete bipartite graphs into bipartite cubic graphs of order at most \(12\), 50-61. ,
- List colorings count rokudoku-pair squares, 62-77. ,
- On sublinear approximations for the Petersen coloring conjecture, 78-90. ,
- Roman and Vatican crossover designs, 91-108. ,
- A die problem, 109-113. ,

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- Configurations representing a skew perspective; a classification of \(15_4\,20_3)\)-configurations reflecting abstract properties of a perspective between tetrahedrons, 41-79. ,
- Double jump peg solitaire on graphs, 80-93. ,
- Honeycomb Toroidal Graphs, 94-114. ,
- On the Steiner Quadruple System with Ten Points, 115-127. ,
- Posets with series parallel orders and strict-double-bound graphs, 128-137. ,

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- An explicit formula for a weight enumerator of linear-congruence codes, 34-38. ,
- Comparing \(n\)-dice fixing the sum of the faces, 39-49. ,
- Morphisms of Skew Hadamard Matrices, 50-62. ,
- Peg solitaire on banana trees, 63-86. ,
- Signed magic rectangles with three filled cells in each column, 87-106. ,
- Small unit-distance graphs in the plane, 107-138. ,
- Regular dominating functions in regular graphs, 139-157. ,

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- A note on totally-omnitonal graphs, 34-40. ,
- A simple proof for the chromatic number of cyclic Latin squares of even order, 41-45. ,
- Connections between scattered linear sets and MRD-codes, 46-74. ,
- Contacts and returns in \(2\)-watermelons without wall, 75-92. ,
- Designing progressive dinner parties, 93-101. ,
- Two related (?) \(2\)-edge-Hamiltonian bigraph conjectures addendum, 102-103. ,

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- The firefighter problem on orientations of the cubic grid, 22-29. ,
- Decomposition of complete graphs into bi-cyclic graphs with eight edges, 30-49. ,
- Distance-hereditary and strongly distance-hereditary graphs, 50-64. ,
- On set graphs, 65-77. ,
- Rainbow mean colorings of bipartite graphs, 78-97. ,
- Two related (?) \(2\)-edge-Hamiltonian bigraph conjectures, 98-117. ,

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- Cyclic and rotational six-cycle systems, 41-46. ,
- Decomposition of product graphs into paths and stars with three edges, 47-74. ,
- On loose \(4\)-cycle decompositions of complete \(3\)-uniform hypergraphs, 75-84. ,
- Some new block designs of dimension three, 85-102. ,
- Transitive distance-regular graphs from the unitary groups \(U(3,4)\), \(U(4,3)\) and \(U(5,2)\), 103-113. ,

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- A new graph coloring scheme, 19-33. ,
- Balanced \(3\)-nearly Platonic graphs, 34-63. ,
- Nonsequenceable Steiner triple systems, 64-68. ,
- On infection in hypergraphs, 69-84. ,
- Palindromic graphs, 85-100. ,
- Successor algorithms via counting arguments, 101-122. ,

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- A generalization of magic labeling of two classes of graphs, 27-43. ,
- All \((96,20,4)\) difference sets and related structures, 44-59. ,
- Bounds for orthogonal arrays with repeated rows, 60-73. ,
- Greedy triple systems, 74-78. ,
- Notes on spreads of degrees in graphs, 79-91. ,
- Two extended Euler functions with applications to latin squares and bases of finite field extensions, 92-111. ,

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- A simple construction of \(3\)-GDDs with block size \(4\) using \(SQS(v)\), 40-44. ,
- Edge Grundy numbers of the regular Turán graphs, 45-52. ,
- On some new resolvable \(1\)-rotational \((45,5,2)\)-BIBDs, 53-64. ,
- Ring dominating functions in graph products, 65-78. ,
- Skolem circles, 79-97. ,
- You can't always get what you want \(\dots\), 98-108. ,

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- Enumerating shortest paths and determining edge betweenness centrality in cartesian products of paths and cycles, 29-51. ,
- New bounds on the biplanar crossing number of low-dimensional hypercubes: How low can you go?, 52-60. ,
- Schwenk graphs of cages, 61-76. ,
- A \(k\)-partite generalization of chordal bipartite graphs, 77-83. ,
- A brief retrospective look at the Cayley-Purser public-key cryptosystem, 19 years later, 84-97. ,
- FHCP challenge set: The first set of structurally difficult instances of the hamiltonian cycle problem, 98-107. ,
- Regular \(d\)-handicap graphs of even order, 108-117. ,

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- \(K_{1,3}\)-subdivision representations with tolerance \(1\) and \(2\), 21-29. ,
- There is but one PDS in \({\mathbb Z}^3\) inducing just square components, 30-41. ,
- Shifting property and other binomial identities for the bivariate Fibonacci polynomials, 42-50. ,
- Not every bipartite double cover is canonical, 51-55. ,
- \(3\)-GDDs with block size \(4\), 56-71. ,
- Almost every non-negative integer contains \(\ldots\), 72-79. ,
- The harmonious number of graphs and related parameters, 80-95. ,

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- Theta Graphs are Hall \(t\)-chromatic for all \(t=0,1,2,\ldots\), 52-62. ,
- Diagram versus bundle equivalence for \({\mathbb Z}_t\times{\mathbb Z}_2^2\)-cocyclic Hadamard matrices, 63-77. ,
- The length distribution for burn-off chip-firing games on complete graphs, 78-97. ,
- On Power-Sequence and Matryoshka Terraces for \({\mathbb{Z}}_n\), 98-117. ,
- Rainbow Cycle Designs, 118-130. ,

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Full volume (ICA members only)

- On Edge Extremal Properties of Hamilton laceable bigraphs, 21-39. ,
- A new method for Constructing Circuit Codes, 40-60. ,
- An Intersection/Union Theorem for several Families of Finite Sets, 61-70. ,
- On a Decomposition of a non-simple \(5\)-design into \(3\)-designs, 71-78. ,
- Some Nonexistence Results for Strong External Difference Families using Character Theory, 79-92. ,
- The Graphs that Dahlhaus called "Good generalized strongly chordal", 93-98. ,
- Horadam sequences: a survey update and extension, 99-118. ,
- Classroom Note. Contributions of Graphs to Staff Rostering, 119-127. ,
- Classroom Note. Scheduling an Exciting Set of Rugby Matches, 128-136. ,

Table of Contents

Full volume (ICA members only)

- Proper Hamiltonian-Connected Graphs, 48-65. ,
- Color Stable Graphs, 66-81. ,
- On sequence-based closed form entries for an exponentiated general \(2\times 2\) matrix: a re-formulation and an application, 82-94. ,
- Snakes: from Graceful to Harmonious, 95-107. ,
- Classroom Note: An Application of Edge Clustering Centrality to Brain Connectivity, 108-115. ,