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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 17 - 22 (6page)
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A travel groupoid is a pair (V,∗) of a set V and a binary operation ∗ on V satisfying two axioms. For a travel groupoid, we can associate a graph in a certain manner. For a given graph G, we say that a travel groupoid (V, ∗) is on G if the graph associated with (V, ∗) is equal to G. There are some results on the classification of travel groupoids which are on a given graph [1, 2, 3, 9]. In this article, we introduce the notion of vertex-indexed partition systems on a graph, and classify the travel groupoids on the graph by the those vertex-indexed partition systems.
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참고문헌 (9)
참고문헌 신청
J. R. Cho / 2014 / Travel groupoids on infinite graphs / Czechoslovak Mathematical Journal 64:763~766
J. R. Cho / 2014 / The non-confusing travel groupoids on a finite connected graph / Lecture Notes in Computer Science 8845:14~17
J. R. Cho / 2017 / T-neighbor systems and travel groupoids on a graph / Graphs and Combinatorics 33:1521~1529
L. Nebesky / 1998 / An algebraic characterization of geodetic graphs / Czechoslovak Mathematical Journal 48(123):701~710
L. Nebesky / 2000 / A tree as a finite nonempty set with a binary operation / Mathematica Bohemica 125:455~458
J. R. Cho / 2014 / The non-confusing travel groupoids on a finite connected graph / Lecture Notes in Computer Science 8845:14~17
J. R. Cho / 2017 / T-neighbor systems and travel groupoids on a graph / Graphs and Combinatorics 33:1521~1529
L. Nebesky / 1998 / An algebraic characterization of geodetic graphs / Czechoslovak Mathematical Journal 48(123):701~710
L. Nebesky / 2000 / A tree as a finite nonempty set with a binary operation / Mathematica Bohemica 125:455~458
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