All reports by Author Marcin Wrochna:

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TR20-040
| 25th March 2020
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Andrei Krokhin, Jakub OprÅ¡al, Marcin Wrochna, Stanislav Zivny#### Topology and adjunction in promise constraint satisfaction

Revisions: 1

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TR20-004
| 17th January 2020
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Joshua Brakensiek, Venkatesan Guruswami, Marcin Wrochna, Stanislav Zivny#### The Power of the Combined Basic LP and Affine Relaxation for Promise CSPs

Revisions: 1

Andrei Krokhin, Jakub OprÅ¡al, Marcin Wrochna, Stanislav Zivny

The approximate graph colouring problem concerns colouring a $k$-colourable

graph with $c$ colours, where $c\geq k$. This problem naturally generalises

to promise graph homomorphism and further to promise constraint satisfaction

problems. Complexity analysis of all these problems is notoriously difficult.

In this paper, we introduce ...
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Joshua Brakensiek, Venkatesan Guruswami, Marcin Wrochna, Stanislav Zivny

In the field of constraint satisfaction problems (CSP), promise CSPs are an exciting new direction of study. In a promise CSP, each constraint comes in two forms: "strict" and "weak," and in the associated decision problem one must distinguish between being able to satisfy all the strict constraints versus not ... more >>>