Square integer Heffter arrays with empty cells

DOI10.1007/s10623-015-0076-4zbMath1323.05025arXiv1412.8409OpenAlexW1952453666MaRDI QIDQ887425

Emine Şule Yazıcı, Dan S. Archdeacon, Diane M. Donovan, Jeffrey H. Dinitz

Publication date: 26 October 2015

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.8409

zbMATH Keywords

biembeddingcycle systemHeffter array

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Other designs, configurations (05B30)

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Cites Work

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• Cyclic biembeddings of twofold triple systems
• Triples, current graphs and biembeddings
• The topological theory of current graphs
• Existence of cyclic \(k\)-cycle systems of the complete graph
• Heffter arrays and biembedding graphs on surfaces
• Further biembeddings of twofold triple systems
• On Partial Sums in Cyclic Groups
• Cyclick-cycle systems of order 2kn +k: A solution of the last open cases
• Tight Heffter Arrays Exist for all Possible Values

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