✦ LIBER ✦

Antisymmetric flows on planar graphs

✍ Scribed by T. H. Marshall

Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 104 KB
Volume: 52
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.20154

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We prove that every oriented planar graph admits a homomorphism to the Paley tournament P~271~ and hence that every oriented planar graph has an antisymmetric flow number and a strong oriented chromatic number of at most 271. © 2006 Wiley Periodicals, Inc. J Graph Theory 52: 200–210, 2006

📜 SIMILAR VOLUMES

On planar hypohamiltonian graphs

✍ Gábor Wiener; Makoto Araya 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 144 KB

We present a planar hypohamiltonian graph on 42 vertices and (as a corollary) a planar hypotraceable graph on 162 vertices, improving the bounds of Zamfirescu and Zamfirescu and show some other consequences. We also settle the open problem whether there exists a positive integer N, such that for eve

On paths in planar graphs

✍ Sanders, Daniel P. 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 93 KB 👁 2 views

This paper generalizes a theorem of Thomassen on paths in planar graphs. As a corollary, it is shown that every 4-connected planar graph has a Hamilton path between any two specified vertices x, y and containing any specified edge other than xy.

Earliest arrival flows on series-paralle

Earliest arrival flows on series-parallel graphs

✍ Stefan Ruzika; Heike Sperber; Mechthild Steiner 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 103 KB

On the linear arboricity of planar graph

On the linear arboricity of planar graphs

✍ Wu, Jian-Liang 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 188 KB 👁 2 views

The linear arboricity la(G) of a graph G is the minimum number of linear forests that partition the edges of G. Akiyama, Exoo, and Harary conjectured for any simple graph G with maximum degree ∆. The conjecture has been proved to be true for graphs having ∆ =

On certain Hamiltonian cycles in planar

On certain Hamiltonian cycles in planar graphs

✍ B�hme, T.; Harant, J.; Tk�?, M. 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 162 KB 👁 2 views

The problem is considered under which conditions a 4-connected planar or projective planar graph has a Hamiltonian cycle containing certain prescribed edges and missing certain forbidden edges. The results are applied to obtain novel lower bounds on the number of distinct Hamiltonian cycles that mus

A theorem on paths in planar graphs

✍ Norishige Chiba; Takao Nishizeki 📂 Article 📅 1986 🏛 John Wiley and Sons 🌐 English ⚖ 108 KB 👁 1 views

C. Thomassen extended Tutte's theorem on cycles in planar graphs in the paper "A Theorem on Paths in Planar Graphs". This note corrects a flaw in his proof.