Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor | Department of Computing | en_US |
| dc.contributor.advisor | Cao, Yixin (COMP) | en_US |
| dc.creator | Ke, Yuping | - |
| dc.identifier.uri | https://theses.lib.polyu.edu.hk/handle/200/12563 | - |
| dc.language | English | en_US |
| dc.publisher | Hong Kong Polytechnic University | en_US |
| dc.rights | All rights reserved | en_US |
| dc.title | Kernelization for edge modification problems | en_US |
| dcterms.abstract | Graph modification problems are significant problems in computer science that have gained considerable attention in recent decades. In this thesis, we focus on edge modification problems, whose task is to make an input graph satisfy some required properties by making small changes to the edges in the graph. | en_US |
| dcterms.abstract | We study kernelization algorithms for edge modification problems toward several graph classes that can be characterized by a finite set of forbidden induced subgraphs and provide small kernels for these problems. A kernelization algorithm is a preprocessing algorithm that reduces the input instances to an equivalent instance with a smaller size in polynomial time. We show that the edge deletion problem toward cluster graphs and the edge addition problem toward paw-free graphs admit linear kernels, a 2k-vertex kernel for the former one and a 38k-vertex kernel for the latter one. In addition, we prove that the edge addition problem toward trivially perfect graphs admits a quadratic kernel. We also prove that the edge addition problem and the edge deletion problem toward (pseudo-) split graphs have a kernel with O(K1.5) vertices. | en_US |
| dcterms.extent | x, 151 pages : color illustrations | en_US |
| dcterms.isPartOf | PolyU Electronic Theses | en_US |
| dcterms.issued | 2023 | en_US |
| dcterms.educationalLevel | Ph.D. | en_US |
| dcterms.educationalLevel | All Doctorate | en_US |
| dcterms.LCSH | Graph theory | en_US |
| dcterms.LCSH | Graph algorithms | en_US |
| dcterms.LCSH | Computer algorithms | en_US |
| dcterms.LCSH | Hong Kong Polytechnic University -- Dissertations | en_US |
| dcterms.accessRights | open access | en_US |
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