Every toroidal graph without adjacent triangles is (4, 1)*-choosable
نویسندگان
چکیده
In this paper, a structural theorem about toroidal graphs is given that strengthens a result of Borodin on plane graphs. As a consequence, it is proved that every toroidal graph without adjacent triangles is (4, 1)∗-choosable. This result is best possible in the sense that K7 is a non-(3, 1)∗-choosable toroidal graph. A linear time algorithm for producing such a coloring is presented also. © 2006 Elsevier B.V. All rights reserved.
منابع مشابه
2 7 Se p 20 06 A Note on ( 3 , 1 ) ∗ - Choosable Toroidal Graphs †
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ورودعنوان ژورنال:
- Discrete Applied Mathematics
دوره 155 شماره
صفحات -
تاریخ انتشار 2007