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Fire Containment in Planar Graphs

✍ Scribed by Louis Esperet; Jan van den Heuvel; Frédéric Maffray; Félix Sipma


Book ID
112121135
Publisher
John Wiley and Sons
Year
2012
Tongue
English
Weight
624 KB
Volume
73
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.


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✍ Xingxing Yu 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 741 KB

Given four distinct vertices in a 4-connected planar graph G, we characterize when the graph G contains a K 4 -subdivision with the given vertices as its degree three vertices. This result implies the following conjecture of Robertson and Thomas: a 5-connected planar graph has no K 4 -subdivision wi