Cofinite graphs and their profinite completions
We generalize the idea of cofinite groups, due to B. Hartley, [2]. First we define cofinite spaces in general. Then, as a special situation, we study cofinite graphs and their uniform completions.The idea of constructing a cofinite graph starts with defining a uniform topological graph $\Gamma$, in...
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| Format: | EJournal Article |
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GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB,
2017-10-16.
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| LEADER | 01985 am a22002653u 4500 | ||
|---|---|---|---|
| 001 | EJGTA_222_pdf_60 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Acharyya, Amrita; Department of Mathematics and Statistics, University of Toledo |e author |
| 100 | 1 | 0 | |e contributor |
| 700 | 1 | 0 | |a Corson, Jon M; Department of Mathematics, University of Alabama |e author |
| 700 | 1 | 0 | |a Das, Bikash; Department of Mathematics, University of North Georgia |e author |
| 245 | 0 | 0 | |a Cofinite graphs and their profinite completions |
| 260 | |b GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB, |c 2017-10-16. | ||
| 500 | |a https://www.ejgta.org/index.php/ejgta/article/view/222 | ||
| 520 | |a We generalize the idea of cofinite groups, due to B. Hartley, [2]. First we define cofinite spaces in general. Then, as a special situation, we study cofinite graphs and their uniform completions.The idea of constructing a cofinite graph starts with defining a uniform topological graph $\Gamma$, in an appropriate fashion. We endow abstract graphs with uniformities corresponding to separating filter bases of equivalence relations with finitely many equivalence classes over $\Gamma$. It is established that for any cofinite graph there exists a unique cofinite completion. | ||
| 540 | |a Copyright (c) 2017 Electronic Journal of Graph Theory and Applications (EJGTA) | ||
| 546 | |a eng | ||
| 690 | |a profinite graph, cofinite graph, profinite group, cofinite group, uniform space, completion, cofinite entourage | ||
| 655 | 7 | |a info:eu-repo/semantics/article |2 local | |
| 655 | 7 | |a info:eu-repo/semantics/publishedVersion |2 local | |
| 655 | 7 | |a Peer-reviewed Article |2 local | |
| 786 | 0 | |n Electronic Journal of Graph Theory and Applications (EJGTA); Vol 5, No 2 (2017): Electronic Journal of Graph Theory and Applications; 347-373 | |
| 786 | 0 | |n 2338-2287 | |
| 787 | 0 | |n https://www.ejgta.org/index.php/ejgta/article/view/222/pdf_60 | |
| 856 | 4 | 1 | |u https://www.ejgta.org/index.php/ejgta/article/view/222/pdf_60 |z Get Fulltext |