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Reverse Mathematics and Recursive Graph Theory
Author(s) -
Gasarch William,
Hirst Jeffry L.
Publication year - 1998
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.19980440405
Subject(s) - mathematics , combinatorics , bounded function , reverse mathematics , discrete mathematics , graph theory , extremal combinatorics , graph , mathematical analysis , geometry , axiom
We examine a number of results of infinite combinatorics using the techniques of reverse mathematics. Our results are inspired by similar results in recursive combinatorics. Theorems included concern colorings of graphs and bounded graphs, Euler paths, and Hamilton paths.