Geodesic
On Edge-Disjoint Cycles in a Graph
Canadian mathematical bulletin, Tome 7 (1964) no. 4, pp. 519-523

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Let g(k) denote the least integer such that every graph , with n vertices and n+g(k) edges, contains at least k edge-disjoint cycles; let h(k) be similarly defined for planar graphs. Loops and multiple edges (i.e., cycles of length one and two) are permitted in both cases. 
Moon, J. W. On Edge-Disjoint Cycles in a Graph. Canadian mathematical bulletin, Tome 7 (1964) no. 4, pp. 519-523. doi: 10.4153/CMB-1964-048-2
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     title = {On {Edge-Disjoint} {Cycles} in a {Graph}},
     journal = {Canadian mathematical bulletin},
     pages = {519--523},
     year = {1964},
     volume = {7},
     number = {4},
     doi = {10.4153/CMB-1964-048-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-048-2/}
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