Bulteau, L, Dabrowski, KK orcid.org/0000-0001-9515-6945, Köhler, N et al. (2 more authors) (2022) An Algorithmic Framework for Locally Constrained Homomorphisms. In: Lecture Notes in Computer Science. 48th International Workshop on Graph-Theoretic Concepts in Computer Science (WG2022), 22-24 Jun 2022, Tuebingen, Germany. Springer Nature , pp. 114-128.
Abstract
A homomorphism ϕ from a guest graph G to a host graph H is locally bijective, injective or surjective if for every u∈V(G), the restriction of ϕ to the neighbourhood of u is bijective, injective or surjective, respectively. The corresponding decision problems, LBHOM, LIHOM and LSHOM, are well studied both on general graphs and on special graph classes. We prove a number of new FPT, W[1]-hard and para-NP-complete results by considering a hierarchy of parameters of the guest graph G. For our FPT results, we do this through the development of a new algorithmic framework that involves a general ILP model. To illustrate the applicability of the new framework, we also use it to prove FPT results for the ROLE ASSIGNMENT problem, which originates from social network theory and is closely related to locally surjective homomorphisms.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2022 Springer Nature Switzerland AG. This is an author produced version of a conference paper published in Lecture Notes in Computer Science . Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | (locally constrained) graph homomorphism; parameterized complexity; fracture number |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) |
Funding Information: | Funder Grant number EPSRC (Engineering and Physical Sciences Research Council) EP/V00252X/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 20 May 2022 13:21 |
Last Modified: | 27 Oct 2022 20:46 |
Status: | Published |
Publisher: | Springer Nature |
Identification Number: | 10.1007/978-3-031-15914-5_9 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:187108 |