𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Colorings Of Plane Graphs With No Rainbow Faces

✍ Scribed by Veselin Jungić; Daniel Král’; Riste Škrekovski


Book ID
106167588
Publisher
Springer-Verlag
Year
2006
Tongue
English
Weight
224 KB
Volume
26
Category
Article
ISSN
0209-9683

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Rainbow faces in edge-colored plane grap
✍ Stanislav Jendrol'; Jozef Miškuf; Roman Soták; Erika Škrabul'áková 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 150 KB

## Abstract A face of an edge‐colored plane graph is called __rainbow__ if the number of colors used on its edges is equal to its size. The maximum number of colors used in an edge coloring of a connected plane graph __G__with no rainbow face is called __the edge‐rainbowness__ of __G__. In this pap

Polychromatic Colorings of Plane Graphs
✍ Noga Alon; Robert Berke; Kevin Buchin; Maike Buchin; Péter Csorba; Saswata Shann 📂 Article 📅 2009 🏛 Springer 🌐 English ⚖ 546 KB
Non-rainbow colorings of 3-, 4- and 5-co
✍ Zdeněk Dvořák; Daniel Král'; Riste Škrekovski 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 166 KB 👁 1 views

## Abstract We study vertex‐colorings of plane graphs that do not contain a rainbow face, i.e., a face with vertices of mutually distinct colors. If __G__ is a 3 ‐connected plane graph with __n__ vertices, then the number of colors in such a coloring does not exceed $\lfloor{{7n-8}\over {9}}\rfloo

Edge-face coloring of plane graphs with
✍ Jean-Sébastien Sereni; Matěj Stehlík 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 189 KB 👁 1 views

An edge-face coloring of a plane graph with edge set E and face set F is a coloring of the elements of E ∪F so that adjacent or incident elements receive different colors. Borodin [Discrete Math 128(1-3): [21][22][23][24][25][26][27][28][29][30][31][32][33] 1994] proved that every plane graph of max

On 3-colorings of Plane Graphs
✍ Bao-gang Xu 📂 Article 📅 2004 🏛 Institute of Applied Mathematics, Chinese Academy 🌐 English ⚖ 162 KB