# On the complexity of various parameterizations of common induced subgraph isomorphism

@inproceedings{AbuKhzam2014OnTC, title={On the complexity of various parameterizations of common induced subgraph isomorphism}, author={Faisal N. Abu-Khzam and {\'E}douard Bonnet and Florian Sikora}, booktitle={Theor. Comput. Sci.}, year={2014} }

## 5 Citations

### Beyond Distributed Subgraph Detection: Induced Subgraphs, Multicolored Problems and Graph Parameters

- Mathematics, Computer ScienceOPODIS
- 2021

This work presents lower bounds and parameterized algorithms w.r.t structural parameters of the input graph, and shows that induced paths can be detected fast in CONGEST using techniques from parameterization algorithms, while detecting cycles and patterns of treewidth 2 is hard.

### Streaming Deletion Problems Parameterized by Vertex Cover

- Computer ScienceFCT
- 2021

This work takes a parameterized approach by assuming a vertex cover of the graph is given, building on work of Bishnu et al.

### Improved Hardness of Maximum Common Subgraph Problems on Labeled Graphs of Bounded Treewidth and Bounded Degree

- MathematicsInt. J. Found. Comput. Sci.
- 2020

This work considers the maximum common connected edge subgraph problem and themaximum common connected induced sub graph problem for simple graphs with labeled vertices (or labeled edges) and concludes that the former is to be solved and the latter is not.

### A genetic approach to the maximum common subgraph problem

- Computer ScienceCompSysTech
- 2019

A simple yet effective genetic algorithm that finds quickly a solution, subject to possible geometric constraints, in the problem of finding the maximum common subgraph of a pair of given graphs.

### Chemical Similarity and Substructure Searches

- Computer ScienceEncyclopedia of Bioinformatics and Computational Biology
- 2019

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Abstract
We show that several problems that are hard for various parameterized complexity classes on general graphs, become fixed parameter tractable on graphs with no small cycles.
More…

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