Minimum Orders of Eulerian Oriented Digraphs with Given Diameter

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초록

A digraph D is oriented if it does not contain 2-cycles. If an oriented digraph D has a directed eulerian path, it is an oriented eulerian digraph. In this paper, when an oriented eulerian digraph D has minimum out-degree 2 and a diameter d, we find the minimum order of D. In addition, when D is 2-regular with diameter 4m (m >= 2), we classify the extremal cases.

키워드

Oriented digrapheulerian digraphminimum orderdiameterGRAPHSCLASSIFICATIONENUMERATION
제목
Minimum Orders of Eulerian Oriented Digraphs with Given Diameter
저자
Rho, YoomiKim, Byeong MoonHwang, WoonjaeSong, Byung Chul
DOI
10.1007/s10114-014-3194-4
발행일
2014-07
유형
Article
저널명
Acta Mathematica Sinica, English Series
30
7
페이지
1125 ~ 1132