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- W4296995476 abstract "Gian-Carlo Rota conjectured that for any $n$ bases $B_1,B_2,ldots,B_n$ in a matroid of rank $n$, there exist $n$ disjoint transversal bases of $B_1,B_2,ldots,B_n$. The conjecture for graphic matroids corresponds to the problem of an edge-decomposition as follows; If an edge-colored connected multigraph $G$ has $n-1$ colors and the graph induced by the edges colored with $c$ is a spanning tree for each color $c$, then $G$ has $n-1$ mutually edge-disjoint rainbow spanning trees. In this paper, we prove that edge-colored graphs where the edges colored with $c$ induce a spanning star for each color $c$ can be decomposed into rainbow spanning trees." @default.
- W4296995476 created "2022-09-25" @default.
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- W4296995476 date "2022-09-23" @default.
- W4296995476 modified "2023-09-30" @default.
- W4296995476 title "Special Case of Rota's Basis Conjecture on Graphic Matroids" @default.
- W4296995476 doi "https://doi.org/10.37236/10835" @default.
- W4296995476 hasPublicationYear "2022" @default.
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