Matches in SemOpenAlex for { <https://semopenalex.org/work/W4288026251> ?p ?o ?g. }
Showing items 1 to 64 of
64
with 100 items per page.
- W4288026251 abstract "For a fixed graph $H$, the $H$-free-editing problem asks whether we can modify a given graph $G$ by adding or deleting at most $k$ edges such that the resulting graph does not contain $H$ as an induced subgraph. The problem is known to be NP-complete for all fixed $H$ with at least $3$ vertices and it admits a $2^{O(k)}n^{O(1)}$ algorithm. Cai and Cai showed that the $H$-free-editing problem does not admit a polynomial kernel whenever $H$ or its complement is a path or a cycle with at least $4$ edges or a $3$-connected graph with at least $1$ edge missing. Their results suggest that if $H$ is not independent set or a clique, then $H$-free-editing admits polynomial kernels only for few small graphs $H$, unless $textsf{coNP} in textsf{NP/poly}$. Therefore, resolving the kernelization of $H$-free-editing for small graphs $H$ plays a crucial role in obtaining a complete dichotomy for this problem. In this paper, we positively answer the question of compressibility for one of the last two unresolved graphs $H$ on $4$ vertices. Namely, we give the first polynomial kernel for paw-free editing with $O(k^{6})$vertices." @default.
- W4288026251 created "2022-07-26" @default.
- W4288026251 creator A5015806060 @default.
- W4288026251 creator A5066848088 @default.
- W4288026251 creator A5087152243 @default.
- W4288026251 date "2019-11-09" @default.
- W4288026251 modified "2023-09-30" @default.
- W4288026251 title "A Polynomial Kernel for Paw-Free Editing" @default.
- W4288026251 doi "https://doi.org/10.48550/arxiv.1911.03683" @default.
- W4288026251 hasPublicationYear "2019" @default.
- W4288026251 type Work @default.
- W4288026251 citedByCount "0" @default.
- W4288026251 crossrefType "posted-content" @default.
- W4288026251 hasAuthorship W4288026251A5015806060 @default.
- W4288026251 hasAuthorship W4288026251A5066848088 @default.
- W4288026251 hasAuthorship W4288026251A5087152243 @default.
- W4288026251 hasBestOaLocation W42880262511 @default.
- W4288026251 hasConcept C114614502 @default.
- W4288026251 hasConcept C118615104 @default.
- W4288026251 hasConcept C122280245 @default.
- W4288026251 hasConcept C12267149 @default.
- W4288026251 hasConcept C132525143 @default.
- W4288026251 hasConcept C154945302 @default.
- W4288026251 hasConcept C160446489 @default.
- W4288026251 hasConcept C203776342 @default.
- W4288026251 hasConcept C207225210 @default.
- W4288026251 hasConcept C2778012994 @default.
- W4288026251 hasConcept C33923547 @default.
- W4288026251 hasConcept C41008148 @default.
- W4288026251 hasConcept C43517604 @default.
- W4288026251 hasConcept C58228413 @default.
- W4288026251 hasConcept C80899671 @default.
- W4288026251 hasConceptScore W4288026251C114614502 @default.
- W4288026251 hasConceptScore W4288026251C118615104 @default.
- W4288026251 hasConceptScore W4288026251C122280245 @default.
- W4288026251 hasConceptScore W4288026251C12267149 @default.
- W4288026251 hasConceptScore W4288026251C132525143 @default.
- W4288026251 hasConceptScore W4288026251C154945302 @default.
- W4288026251 hasConceptScore W4288026251C160446489 @default.
- W4288026251 hasConceptScore W4288026251C203776342 @default.
- W4288026251 hasConceptScore W4288026251C207225210 @default.
- W4288026251 hasConceptScore W4288026251C2778012994 @default.
- W4288026251 hasConceptScore W4288026251C33923547 @default.
- W4288026251 hasConceptScore W4288026251C41008148 @default.
- W4288026251 hasConceptScore W4288026251C43517604 @default.
- W4288026251 hasConceptScore W4288026251C58228413 @default.
- W4288026251 hasConceptScore W4288026251C80899671 @default.
- W4288026251 hasLocation W42880262511 @default.
- W4288026251 hasLocation W42880262512 @default.
- W4288026251 hasOpenAccess W4288026251 @default.
- W4288026251 hasPrimaryLocation W42880262511 @default.
- W4288026251 hasRelatedWork W2013995268 @default.
- W4288026251 hasRelatedWork W2759324182 @default.
- W4288026251 hasRelatedWork W2786060560 @default.
- W4288026251 hasRelatedWork W2900382700 @default.
- W4288026251 hasRelatedWork W2920083926 @default.
- W4288026251 hasRelatedWork W2951519758 @default.
- W4288026251 hasRelatedWork W2983947941 @default.
- W4288026251 hasRelatedWork W3197941146 @default.
- W4288026251 hasRelatedWork W4288329913 @default.
- W4288026251 hasRelatedWork W4294538566 @default.
- W4288026251 isParatext "false" @default.
- W4288026251 isRetracted "false" @default.
- W4288026251 workType "article" @default.