A survey of Heffter arrays
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Publication:6613375
DOI10.1007/978-3-031-48679-1_20zbMATH Open1548.05067MaRDI QIDQ6613375
Publication date: 2 October 2024
Planar graphs; geometric and topological aspects of graph theory (05C10) Other designs, configurations (05B30)
Cites Work
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- Cyclic biembeddings of twofold triple systems
- Existence of some signed magic arrays
- Sequences in groups with distinct partial products
- Square integer Heffter arrays with empty cells
- Orientable biembeddings of cyclic Steiner triple systems from current assignments on Möbius ladder graphs
- A non-existence result on cyclic cycle-decompositions of the cocktail party graph
- Skolem-type difference sets for cycle systems
- A problem on partial sums in abelian groups
- Existence of cyclic \(k\)-cycle systems of the complete graph
- Resolvable configurations
- On \(\lambda\)-fold relative Heffter arrays and biembedding multigraphs on surfaces
- Non-zero sum Heffter arrays and their applications
- On sequences in cyclic groups with distinct partial sums
- On the existence of integer relative Heffter arrays
- Some new results about a conjecture by Brian Alspach
- Globally simple heffter arrays \(H ( n ; k )\) when \(k \equiv 0 , 3 \pmod 4 \)
- Heffter arrays and biembedding graphs on surfaces
- Cyclic Hamiltonian cycle systems of the complete graph minus a 1-factor
- Directed paths of diagonals within polygons
- Sequenceable groups and related topics.
- Rectangular Heffter arrays: a reduction theorem
- Graphs on surfaces
- Further biembeddings of twofold triple systems
- On Partial Sums in Cyclic Groups
- Cyclicm-cycle systems withm ≤ 32 orm = 2q withq a prime power
- Signed magic rectangles with three filled cells in each column
- Combinatorial Local Planarity and the Width of Graph Embeddings
- Combinatorial Nullstellensatz
- Cyclic $m$-cycle systems of complete graphs minus a 1-factor
- Biembedding Steiner Triple Systems and n-cycle Systems on Orientable Surfaces
- The existence of square integer Heffter arrays
- Globally simple Heffter arrays and orthogonal cyclic cycle decompositions
- Cyclick-cycle systems of order 2kn +k: A solution of the last open cases
- Relative Heffter arrays and biembeddings
- New results on modular Golomb rulers, optical orthogonal codes and related structures
- Magic rectangles, signed magic arrays and integer $\lambda$-fold relative Heffter arrays
- Magic rectangles with empty cells
- A tour problem on a toroidal board
- On strongly sequenceable abelian groups
- The existence of square non-integer Heffter arrays
- Distinct partial sums in cyclic groups: polynomial method and constructive approaches
- Tight Heffter Arrays Exist for all Possible Values
- Mutually orthogonal cycle systems
- Magic partially filled arrays on abelian groups
- Weak Heffter arrays and biembedding graphs on non-orientable surfaces
- A generalization of Heffter arrays
- Tight globally simple nonzero sum Heffter arrays and biembeddings
- Weak sequenceability in cyclic groups
- Biembeddings of cycle systems using integer Heffter arrays
- Tight Heffter arrays from finite fields
- On the number of non-isomorphic (simple) \(k\)-gonal biembeddings of complete multipartite graphs
Related Items (4)
Tight Heffter arrays from finite fields ⋮ Heffter spaces ⋮ On the number of non-isomorphic (simple) \(k\)-gonal biembeddings of complete multipartite graphs ⋮ Additivity of symmetric and subspace 2-designs
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