Decompositions of complete multigraphs into cycles of varying lengths

Bryant Darryn; Horsley Daniel; Maenhaut Barbara; Smith Benjamin R.

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Decompositions of complete multigraphs into cycles of varying lengths

机译：将完全多层物分解成不同长度的循环

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摘要

We establish necessary and sufficient conditions for the existence of a decomposition of a complete multigraph into edge-disjoint cycles of specified lengths, or into edge-disjoint cycles of specified lengths and a perfect matching. (C) 2017 Elsevier Inc. All rights reserved.

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《Journal of Combinatorial Theory, Series B》 |2018年第2018期|共28页
作者
Bryant Darryn; Horsley Daniel; Maenhaut Barbara; Smith Benjamin R.;
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作者单位

Univ Queensland Sch Math &

Phys Brisbane Qld 4072 Australia;

Monash Univ Sch Math Sci Clayton Vic 3800 Australia;

Univ Queensland Sch Math &

Phys Brisbane Qld 4072 Australia;

Univ Queensland Sch Math &

Phys Brisbane Qld 4072 Australia;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Edge decomposition; Cycle decomposition; Complete multigraph;

机译：边缘分解;循环分解;完整的多层游文;

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1. Decompositions of complete multigraphs into cycles of varying lengths [J] . Bryant Darryn, Horsley Daniel, Maenhaut Barbara, Journal of Combinatorial Theory, Series B . 2018,第期

机译：将完全多层物分解成不同长度的循环
2. Uniform decompositions of complete multigraphs into cycles [J] . Berry Duncan, Bryant Darryn, Dean Matthew, Journal of combinatorial designs . 2018,第11a12期

机译：完全多重粘土分解成循环的均匀分解
3. Uniform decompositions of complete multigraphs into cycles [J] . Berry Duncan, Bryant Darryn, Dean Matthew, Journal of combinatorial designs . 2018,第11a12期

机译：完全多重粘土分解成循环的均匀分解
4. On the cyclic decomposition of complete multigraph into near Hamiltonian cycles [C] . Mowafaq Alqadri, Haslinda Ibrahim International Conference on Mathematics, Statistics, and Their Applications . 2017

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5. On Hamilton Cycle Decompositions of Complete Multipartite Graphs Which Are Both Cyclic and Symmetric [D] . Akinola, Fatima A. 2021

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6. The PolyA tail length of yeast histone mRNAs varies during the cell cycle and is influenced by Sen1p and Rrp6p [O] . Suzanne Beggs, Tharappel C. James, Ursula Bond 2012

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7. Decompositions of complete multigraphs into cycles of varying lengths [O] . Bryant, Darryn, Horsley, Daniel, Maenhaut, Barbara, 2015

机译：将完整的多图分解为不同长度的循环

Decompositions of complete multigraphs into cycles of varying lengths

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