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1. Hunt, Alexis. Establishing a Connection Between Graph Structure, Logic, and Language Theory.

Degree: 2015, University of Waterloo

The field of graph structure theory was given life by the Graph Minors Project of Robertson and Seymour, which developed many tools for understanding the way graphs relate to each other and culminated in the proof of the Graph Minors Theorem. One area of ongoing research in the field is attempting to strengthen the Graph Minors Theorem to sets of graphs, and sets of sets of graphs, and so on. At the same time, there is growing interest in the applications of logic and formal languages to graph theory, and a significant amount of work in this field has recently been consolidated in the publication of a book by Courcelle and Engelfriet. We investigate the potential applications of logic and formal languages to the field of graph structure theory, suggesting a new area of research which may provide fruitful.

Subjects/Keywords: graph structure; logic; formal languages; language theory; monadic second-order logic; tree-decompositions; hyperedge replacement; HR algebra; graph theory; well-quasi-ordering; cone graph; cone ideal; tree-generator; obstruction-width

…chldrn(v) 4G fG G4 Children of v Cone of G Apex of 4G Cone graphs 8 45 45 46 G… …Powerset signature of F Graph obtained from G by forgetting the asource, if any Ideal with… …Collection of connected graphs in G 8 8 45 ι(G) Set of trees ideal-generated by G 23… …ideal, and this observation forms the main motivation of this work. The interest in such a… …an ideal if C is downwards-closed and we have the corresonding sets ↓(Ω) and cl… 

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APA (6th Edition):

Hunt, A. (2015). Establishing a Connection Between Graph Structure, Logic, and Language Theory. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/9648

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Hunt, Alexis. “Establishing a Connection Between Graph Structure, Logic, and Language Theory.” 2015. Thesis, University of Waterloo. Accessed July 10, 2020. http://hdl.handle.net/10012/9648.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Hunt, Alexis. “Establishing a Connection Between Graph Structure, Logic, and Language Theory.” 2015. Web. 10 Jul 2020.

Vancouver:

Hunt A. Establishing a Connection Between Graph Structure, Logic, and Language Theory. [Internet] [Thesis]. University of Waterloo; 2015. [cited 2020 Jul 10]. Available from: http://hdl.handle.net/10012/9648.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Hunt A. Establishing a Connection Between Graph Structure, Logic, and Language Theory. [Thesis]. University of Waterloo; 2015. Available from: http://hdl.handle.net/10012/9648

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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