Resolvable cycle decompositions of complete multigraphs and complete equipartite multigraphs via layering and detachment
From MaRDI portal
Publication:6146193
DOI10.1002/jcd.21792arXiv1809.09305OpenAlexW3173322072MaRDI QIDQ6146193
Mateja Šajna, M. Amin Bahmanian
Publication date: 5 February 2024
Published in: Journal of Combinatorial Designs (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.09305
Paths and cycles (05C38) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A complete solution to the two-table Oberwolfach problems
- Decompositions of complete multigraphs into cycles of varying lengths
- More results on cycle frames and almost resolvable cycle systems
- Complete solutions to the Oberwolfach problem for an infinite set of orders
- The existence of \(C_ k\)-factorizations of \(K_{2n}-F\)
- The spectrum of \(\alpha\)-resolvable block designs with block size 3
- On the Oberwolfach problem for complete multigraphs
- On \(\lambda\)-fold equipartite Oberwolfach problem with uniform table sizes
- Two-factorizations of small complete graphs
- On the Hamilton-Waterloo problem with cycle lengths of distinct parities
- The Oberwolfach problem and factors of uniform odd length cycles
- On the Oberwolfach problem for single-flip 2-factors via graceful labelings
- On the Hamilton-Waterloo Problem with triangle factors and $C_{3x}$-factors
- Decomposing Complete Equipartite Multigraphs into Cycles of Variable Lengths: The Amalgamation-detachment Approach
- SOME RESULTS ON THE OBERWOLFACH PROBLEM
- On bipartite 2-factorizations of kn − I and the Oberwolfach problem
- Some observations on the oberwolfach problem
- A Generalization of the Hamilton–Waterloo Problem on Complete Equipartite Graphs
- On the Hamilton–Waterloo problem with odd cycle lengths
- α‐Resolvable group divisible designs with block size three
- Cycle decompositions V: Complete graphs into cycles of arbitrary lengths
- Bipartite 2‐Factorizations of Complete Multipartite Graphs
- Merging Combinatorial Design and Optimization: the Oberwolfach Problem
- On the Hamilton-Waterloo problem: the case of two cycles sizes of different parity
- A Complete Solution to the Existence of ‐Cycle Frames of Type
- On the Hamilton–Waterloo Problem with Odd Orders
This page was built for publication: Resolvable cycle decompositions of complete multigraphs and complete equipartite multigraphs via layering and detachment