Graph homomorphisms via vector colorings
In this paper we study the existence of homomorphisms G→H using semidefinite programming. Specifically, we use the vector chromatic number of a graph, defined as the smallest real number t≥2 for which there exists an assignment of unit vectors i↦p i to its vertices such that 〈p i ,p j 〉≤−1∕(t−1), wh...
Main Authors: | Godsil, Chris, Roberson, David E., Rooney, Brendan, Šámal, Robert, Varvitsiotis, Antonios |
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Other Authors: | School of Physical and Mathematical Sciences |
Format: | Journal Article |
Language: | English |
Published: |
2020
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Subjects: | |
Online Access: | https://hdl.handle.net/10356/143053 |
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