✦ LIBER ✦

Hamiltonian paths in oriented graphs

✍ Scribed by Maria Overbeck-Larisch

Publisher: Elsevier Science
Year: 1976
Tongue: English
Weight: 217 KB
Volume: 21
Category: Article
ISSN: 0095-8956
DOI: 10.1016/0095-8956(76)90030-7

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Hamiltonian paths and hamiltonian connec

Hamiltonian paths and hamiltonian connectivity in graphs

✍ Bing Wei 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 388 KB

## Let G be a 2-connected graph with n vertices such that d(u)+d(u)+d(w)-IN(u)nN(u)nN(w)I an+ 1 holds for any triple of independent vertices u, v and w. Then for any distinct vertices u and u such that {u, 0) is not a cut vertex set of G, there is a hamiltonian path between u and o. In particular,

Hamiltonian path graphs

✍ Gary Chartrand; S. F. Kapoor; E. A. Nordhaus 📂 Article 📅 1983 🏛 John Wiley and Sons 🌐 English ⚖ 389 KB

## Abstract The Hamiltonian path graph __H(G)__ of a graph __G__ is that graph having the same vertex set as __G__ and in which two vertices __u__ and __v__ are adjacent if and only if __G__ contains a Hamiltonian __u‐v__ path. A characterization of Hamiltonian graphs isomorphic to their Hamiltonia

On Hamiltonian paths in distance graphs

✍ Christian Löwenstein; Dieter Rautenbach; Friedrich Regen 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 270 KB

Powers of Hamiltonian paths in interval

Powers of Hamiltonian paths in interval graphs

✍ Isaak, Garth 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 232 KB 👁 3 views

We give a simple proof that the obvious necessary conditions for a graph to contain the k th power of a Hamiltonian path are sufficient for the class of interval graphs. The proof is based on showing that a greedy algorithm tests for the existence of Hamiltonian path powers in interval graphs. We wi

Line graphs of bipartite graphs with Ham

Line graphs of bipartite graphs with Hamiltonian paths

✍ Francis K. Bell 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 115 KB

It is shown that, if t is an integer !3 and not equal to 7 or 8, then there is a unique maximal graph having the path P t as a star complement for the eigenvalue À2: The maximal graph is the line graph of K m,m if t ¼ 2mÀ1, and of K m,m þ1 if t ¼ 2m. This result yields a characterization of L(G ) wh

Long paths and cycles in oriented graphs

✍ Bill Jackson 📂 Article 📅 1981 🏛 John Wiley and Sons 🌐 English ⚖ 501 KB

## Abstract We obtain several sufficient conditions on the degrees of an oriented graph for the existence of long paths and cycles. As corollaries of our results we deduce that a regular tournament contains an edge‐disjoint Hamilton cycle and path, and that a regular bipartite tournament is hamilto