Discrete Mathematics
A note on packing paths in planar graphs
Mathematical Programming: Series A and B
Edge-disjoint placement of three trees
European Journal of Combinatorics
Packing trees into planar graphs
Journal of Graph Theory
Planar packing of binary trees
WADS'13 Proceedings of the 13th international conference on Algorithms and Data Structures
Computational Geometry: Theory and Applications
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In [A. Garcia, C. Hernando, F. Hurtado, M. Noy, J. Tejel, Packing trees into planar graphs, J. Graph Theory (2002) 172-181] Garcia et al. conjectured that for every two non-star trees there exists a planar graph containing them as edge-disjoint subgraphs. In this paper we prove the conjecture in the case in which one of the trees is a spider tree.