H-coloring dichotomy revisited

AA Bulatov - Theoretical Computer Science, 2005 - Elsevier
… such as List H-Coloring, Counting H-Coloring, Restrictive H-Coloring has been
intensively … is the dichotomy theorem for undirected graphs [11] that establishes that the H-Coloring

Toward a Dichotomy for Approximation of -coloring

A Rafiey, A Rafiey, T Santos - arXiv preprint arXiv:1902.02201, 2019 - arxiv.org
… toward a dichotomy classification of approximable cases. We give a dichotomy classification
… In Section 7, we show that the same dichotomy classification holds in terms of approximation…

ℋ-Colouring Dichotomy in Proof Complexity

A Gaysin - Journal of Logic and Computation, 2021 - academic.oup.com
… The main goal of our work is to start the development of some of the theories beyond the
CSP dichotomy theorem in bounded arithmetic. We aim eventually—in a subsequent work—to …

H-coloring revisited

V Božin, I Lazarević - Filomat, 2023 - JSTOR
… For this reason, it makes sense to revisit the original proof of Hell and Nešetril for the
dichotomy for CSP for undirected graphs ([9]). In this paper we give new simpler proof of central …

A New Proof of the H-Coloring Dichotomy

MH Siggers - SIAM Journal on Discrete Mathematics, 2010 - SIAM
… agreed with the more general constraint satisfaction problem (CSP) dichotomy … CSP
dichotomy classification conjecture was given. In this paper, we reprove the H-coloring dichotomy

Space complexity of list h-coloring revisited: the case of oriented trees

L Egri - arXiv preprint arXiv:1510.07124, 2015 - arxiv.org
… (We remark that our results re-prove the L − NL dichotomy for LHOM(T) when T is an …
Descriptive complexity of list H-coloring problems in logspace: A refined dichotomy. In 30th Annual …

[PDF][PDF] On the complexity of h-coloring for special oriented trees

J Bulín - arXiv preprint arXiv:1407.1779, 2014 - researchgate.net
… The CSP dichotomy conjecture of Feder and Vardi is equivalent to proving that, for any H,
the H-coloring problem is in in P or NP-complete. We confirm this dichotomy for a certain class …

Tractable conservative constraint satisfaction problems

AA Bulatov - 18th Annual IEEE Symposium of Logic in …, 2003 - ieeexplore.ieee.org
… We apply the main result to H-COLORING problem, an intensively studied combinatorial …
The result for SATISFIABILITY is known as Schaefer’s Dichotomy Theorem. We revisit those re…

On the complexity of -coloring for special oriented trees

J Bulín - arXiv preprint arXiv:1407.1779, 2014 - arxiv.org
… The CSP dichotomy conjecture of Feder and Vardi is equivalent to proving that, for any H,
the Hcoloring problem is in P or NP-complete. We confirm this dichotomy for a certain class of …

Sparsification Lower Bounds for List H-Coloring

H Chen, BMP Jansen, K Okrasa, A Pieterse… - ACM Transactions on …, 2023 - dl.acm.org
… We investigate the List H-Coloring problem, the generalization of graph … dichotomy,
Feder and Hell [14] proved that if H is reflexive (ie, every vertex has a self-loop), then List H-Coloring