Results 221 to 230 of about 335,404 (286)

Towards Characterization of Five‐List‐Colorability of Toroidal Graphs

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT Through computer‐assisted enumeration, we list minimal obstructions for 5‐choosability of graphs on the torus with the following additional property: There exists a cyclic system of non‐contractible triangles around the torus where the consecutive triangles are at distance at most four.
Zdeněk Dvořák   +1 more
wiley   +1 more source

Upper Bounds on the Minimum Size of Feedback Arc Set of Directed Multigraphs With Bounded Degree

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT An oriented multigraph is a directed multigraph without directed 2‐cycles. Let fas ( D ) $\text{fas}(D)$ denote the minimum size of a feedback arc set in an oriented multigraph D $D$. In several papers, upper bounds for fas ( D ) $\text{fas}(D)$ were obtained for oriented multigraphs D $D$ with maximum degree upper‐bounded by a constant ...
Gregory Gutin   +3 more
wiley   +1 more source

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