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A note on packing paths in planar graphs

✍ Scribed by András Frank; Zoltán Szigeti


Publisher
Springer-Verlag
Year
1995
Tongue
English
Weight
506 KB
Volume
70
Category
Article
ISSN
0025-5610

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📜 SIMILAR VOLUMES


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.

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.

A theorem on paths in planar graphs
✍ Carsten Thomassen 📂 Article 📅 1983 🏛 John Wiley and Sons 🌐 English ⚖ 394 KB 👁 1 views

We prove a theorem on paths with prescribed ends in a planar graph which extends Tutte's theorem on cycles in planar graphs [9] and implies the conjecture of Plummer (51 asserting that every 4-connected planar graph is Hamiltonian-connected.

A note on planar graphs
✍ David P. Brown; Alan Budner 📂 Article 📅 1965 🏛 Elsevier Science 🌐 English ⚖ 612 KB

Some new properties of the distribution of elements and vertices with respect to the windows of a connected planar graph G are established. It is also shown that a window matrix of G has properties similar to the properties of an incidence matrix of a graph which is not necessarily planar. A method

Edge-Packing in Planar Graphs
✍ L. S. Heath; J. P. C. Vergara 📂 Article 📅 1998 🏛 Springer 🌐 English ⚖ 396 KB