Planar graphs without adjacent cycles of length at most seven are 3-colorable
Author/Authors :
Borodin، نويسنده , , Oleg V. and Montassier، نويسنده , , Mickael and Raspaud، نويسنده , , André، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
Pages :
7
From page :
167
To page :
173
Abstract :
We prove that every planar graph in which no i -cycle is adjacent to a j -cycle whenever 3 ≤ i ≤ j ≤ 7 is 3-colorable and pose some related problems on the 3-colorability of planar graphs.