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- W2100565590 abstract "We prove that if a matroid M contains two disjoint bases (or, dually, if its ground set is the union of two bases), then TM(a,a) max{TM(2a,0),TM(0,2a)} for a 2. This resembles the conjecture that appears in C. Merino and D.J.A. Welsh, Forests, colourings and acyclic orientations of the square lattice, Annals of Combinatorics 3 (1999) pp. 417‐429: If G is a 2-connected graph with no loops, then TG(1,1) max{TG(2,0),T(0,2)}. We conjecture that TM(1,1) max{TM(2,0),TM(0,2)} for matroids which contains two disjoint bases or its ground set is the union of two bases. We also prove the latter for some families of graphs and matroids." @default.
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- W2100565590 date "2009-08-01" @default.
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- W2100565590 title "A note on some inequalities for the Tutte polynomial of a matroid" @default.
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- W2100565590 doi "https://doi.org/10.1016/j.endm.2009.07.102" @default.
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