Triangle-Free Penny Graphs: Degeneracy, Choosability, and Edge Count
نویسنده
چکیده
We show that triangle-free penny graphs have degeneracy at most two, list coloring number (choosability) at most three, diameter D = Ω( √ n), and at most min ( 2n−Ω( √ n), 2n−D − 2 ) edges.
منابع مشابه
Choosability and edge choosability of planar graphs without five cycles
It is proved that a planar graph G without five cycles is three degenerate, hence, four choosable, and it is also edge-(A( G) + l)h c oosable. @ 2002 Elsevier Science Ltd. All rights reserved. Keywords-Choosability, Edge choosability, Degeneracy, Planar graph.
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تاریخ انتشار 2017