Improved lower bounds for the 2-page crossing numbers of Km,n and Kn via semidefinite programming
It has long been conjectured that the crossing numbers of the complete bipartite graph $K_{m,n}$ and of the complete graph $K_n$ equal $Z(m,n):=\bigl\lfloor\frac{n}{2}\bigr\rfloor \bigl\lfloor\frac{n-1}{2}\bigr\rfloor \bigl\lfloor\frac{m}{2}\bigr\rfloor \bigl\lfloor\frac{m-1}{2}\bigr\rfloor$ and $Z(...
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Main Authors: | Klerk, E. de., Pasechnik, Dmitrii V. |
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Other Authors: | School of Physical and Mathematical Sciences |
Format: | Article |
Language: | English |
Published: |
2013
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Online Access: | https://hdl.handle.net/10356/96333 http://hdl.handle.net/10220/10215 |
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Institution: | Nanyang Technological University |
Language: | English |
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