Geodesic
The almost intersection property for pairs of matroids on common groundset
Nathan Bowler ; Johannes Carmesin ; Jerzy Wojciechowski ; Shadisadat Ghaderi1
1Guttman Community College, CUNY
The electronic journal of combinatorics, Tome 27 (2020) no. 3
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We introduce the Almost Intersection Property for pairs of possibly infinite matroids on the same groundset. We prove that if such a pair satisfies the Almost Intersection Property then it satisfies the Matroid Intersection Conjecture of Nash-Williams. We also present some corollaries of that result.
DOI : 10.37236/8881
Classification : 05B35, 52B40
Mots-clés : matroid intersection conjecture of Nash-Williams, packing/covering property

Nathan Bowler    ; Johannes Carmesin    ; Jerzy Wojciechowski    ; Shadisadat Ghaderi  1

1 Guttman Community College, CUNY 
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     title = {The almost intersection property for pairs of matroids on common groundset},
     journal = {The electronic journal of combinatorics},
     year = {2020},
     volume = {27},
     number = {3},
     doi = {10.37236/8881},
     zbl = {1444.05036},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/8881/}
}
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Nathan Bowler; Johannes Carmesin; Jerzy Wojciechowski; Shadisadat Ghaderi. The almost intersection property for pairs of matroids on common groundset. The electronic journal of combinatorics, Tome 27 (2020) no. 3. doi: 10.37236/8881

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