Hamilton cycles in graphs and hypergraphs: an extremal perspective
As one of the most fundamental and well-known NP-complete problems, the Hamilton cycle
problem has been the subject of intensive research. Recent developments in the area have …
problem has been the subject of intensive research. Recent developments in the area have …
Resolution of the Oberwolfach problem
The Oberwolfach problem, posed by Ringel in 1967, asks for a decomposition of K2n+ 1 into
edge-disjoint copies of a given 2-factor. We show that this can be achieved for all large n …
edge-disjoint copies of a given 2-factor. We show that this can be achieved for all large n …
A blow-up lemma for approximate decompositions
We develop a new method for constructing approximate decompositions of dense graphs
into sparse graphs and apply it to long-standing decomposition problems. For instance, our …
into sparse graphs and apply it to long-standing decomposition problems. For instance, our …
Extremal aspects of graph and hypergraph decomposition problems.
Extremal aspects of graph and hypergraph decomposition problems. Page 245 Extremal aspects
of graph and hypergraph decomposition problems Stefan Glock Daniela Kühn Deryk Osthus …
of graph and hypergraph decomposition problems Stefan Glock Daniela Kühn Deryk Osthus …
[HTML][HTML] Decompositions of complete multigraphs into cycles of varying lengths
D Bryant, D Horsley, B Maenhaut, BR Smith - Journal of Combinatorial …, 2018 - Elsevier
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Universal quantum processors in spin systems via robust local pulse sequences
We propose a protocol to realize quantum simulation and computation in spin systems with
long-range interactions. Our approach relies on the local addressing of single spins with …
long-range interactions. Our approach relies on the local addressing of single spins with …
The generalised Oberwolfach problem
P Keevash, K Staden - Journal of Combinatorial Theory, Series B, 2022 - Elsevier
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Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue Search …
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A novel approach for cyclic decompositions of balanced complete bipartite graphs into infinite graph classes
A El-Mesady, O Bazighifan… - Journal of Function …, 2022 - Wiley Online Library
Graph theory is considered an attractive field for finding the proof techniques in discrete
mathematics. The results of graph theory have applications in many areas of social …
mathematics. The results of graph theory have applications in many areas of social …
A survey on constructive methods for the Oberwolfach problem and its variants
AC Burgess, PH Danziger, T Traetta - International Conference on New …, 2022 - Springer
The Oberwolfach problem was famously introduced in 1967 by Gerhard Ringel at a
conference in Oberwolfach, Germany. At this conference it was the tradition for attendees to …
conference in Oberwolfach, Germany. At this conference it was the tradition for attendees to …
A bandwidth theorem for approximate decompositions
We provide a degree condition on a regular n‐vertex graph G which ensures the existence
of a near optimal packing of any family H of bounded degree n‐vertex k‐chromatic …
of a near optimal packing of any family H of bounded degree n‐vertex k‐chromatic …