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Abstract. We study the problems to find a maximum packing of shortest edge-disjoint cycles in a graph of given girth g (g-ESCP) and its vertex-disjoint analogue ...
Jun 30, 2009 · We study the problems to find a maximum packing of shortest edge-disjoint cycles in a graph of given girth g (g-ESCP) and its ...
Abstract. We study the problems to find a maximum packing of shortest edge-disjoint cycles in a graph of given girth g (g-ESCP) and its vertex-disjoint ...
We study the problems to find a maximum packing of shortest edge-disjoint cycles in a graph of given girth g (g-ESCP) and its vertex-disjoint analogue ...
Chalermsook et al. [11] studied a variant of k-Cycle Packing on directed graphs for k ≥ n 1/2 where we want to pack as many disjoint cycles of length at most k ...
We study the problems to nd a maximum packing of shortest edge-disjoint cycles in a graph of given girth g (g-ESCP) and its vertex-disjoint analogue g-VSCP.
Our proof is constructive and it yields a polynomial-time algorithm for finding, in graphs that pack, a maximum cycle packing as well as a minimum feedback set.
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Intuitively, S will contain vertices of “short” cycles in the input graph, where short will be defined later. ▷ Lemma 5. Given a (multi) graph G = (V,E) ...
The main result in this section is Theorem 5.3, which shows that every d-cut dense graph on n vertices can be decomposed into O(n/d) cycles and edges. We first ...
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To find the shortest cycle, we need a way to traverse the graph and keep track of the distances from a starting node. The natural choice here is BFS, which ...