Tuza’s Conjecture for graphs with maximum average degree less than 7

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Tuza's Conjecture for graphs with maximum average degree less than 7

Suppose that I wish to make a graph G triangle-free by removing a small number of edges. An obvious obstruction is the presence of a large set of edge-disjoint triangles, since I must remove one edge from each triangle. On the other hand, removing all the edges in a maximal set of edge-disjoint triangles clearly makes G triangle-free. Tuza’s Conjecture states that the worstcase number of edges ...

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k-forested choosability of graphs with bounded maximum average degree

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ژورنال

عنوان ژورنال: European Journal of Combinatorics

سال: 2015

ISSN: 0195-6698

DOI: 10.1016/j.ejc.2015.03.006