On exchange axioms for valuated matroids and valuated delta-matroids

COMBINATORICA ◽  
1996 ◽  
Vol 16 (4) ◽  
pp. 591-596 ◽  
Author(s):  
Kazuo Murota
Keyword(s):  
Valuated Matroids

scholarly journals Valuated matroids: a new look at the greedy algorithm

1990 ◽  
Vol 3 (2) ◽  
pp. 33-35 ◽  
Author(s):  
Andreas W.M. Dress ◽  
Walter Wenzel
Keyword(s):  
Greedy Algorithm ◽  
The Greedy Algorithm ◽  
Valuated Matroids ◽  
New Look

scholarly journals k-Best Solutions under Distance Constraints in Valuated ▵-Matroids

1999 ◽  
Vol 22 (4) ◽  
pp. 381-412 ◽  
Author(s):  
Ingo Althöfer ◽  
Walter Wenzel
Keyword(s):  
Distance Constraints ◽  
Valuated Matroids

scholarly journals Valuated matroids

1992 ◽  
Vol 93 (2) ◽  
pp. 214-250 ◽  
Author(s):  
Andreas W.M Dress ◽  
Walter Wenzel
Keyword(s):  
Valuated Matroids

scholarly journals Matroids Over One-Dimensional Groups

2020 ◽  
Author(s):  
Guus P Bollen ◽  
Dustin Cartwright ◽  
Jan Draisma
Keyword(s):  
Positive Characteristic ◽  
Algebraic Groups ◽  
One Dimensional ◽  
Valuated Matroids ◽  
Algebraic Matroids

Abstract We develop the theory of matroids over one-dimensional algebraic groups, with special emphasis on positive characteristic. In particular, we compute the Lindström valuations and Frobenius flocks of such matroids. Building on work by Evans and Hrushovski, we show that the class of algebraic matroids, paired with their Lindström valuations, is not closed under duality of valuated matroids.

scholarly journals On complete classes of valuated matroids

2022 ◽  
pp. 945-962
Author(s):  
Edin Husić ◽  
Georg Loho ◽  
Ben Smith ◽  
László A. Végh
Keyword(s):  
Valuated Matroids

scholarly journals Uniform semimodular lattices and valuated matroids

2019 ◽  
Vol 165 ◽  
pp. 325-359 ◽  
Author(s):  
Hiroshi Hirai
Keyword(s):  
Semimodular Lattices ◽  
Valuated Matroids

scholarly journals Tropical schemes, tropical cycles, and valuated matroids

2019 ◽  
Vol 22 (3) ◽  
pp. 777-796
Author(s):  
Diane Maclagan ◽  
Felipe Rincón
Keyword(s):  
Valuated Matroids

Multiple Exchange Property for M♮-Concave Functions and Valuated Matroids

2018 ◽  
Vol 43 (3) ◽  
pp. 781-788 ◽  
Author(s):  
Kazuo Murota
Keyword(s):  
Exchange Property ◽  
Concave Functions ◽  
Multiple Exchange ◽  
Valuated Matroids
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