# # All 10 binary excluded minors for branchwidth 3 # (already closed on duality). @comment "all 10 binary branch-width 3 excluded minors" @require 1+1 0 { # # the matroid of the graph of 3-cube Q^3, in a regular representation @comment "the matroid of the 3-cube graph Q^3" 1 0 1 0 0 1 1 1 0 0 1 1 1 1 0 0 1 1 1 0 0 1 1 1 1 0 1 0 1 1 0 0 0 1 1 }{ # # the matroid of the graph of octahedron O_6, in a regular representation @comment "the matroid of the octahedron graph O_6" 1 1 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 }{ # # the matroid of the complete graph K_5, in a regular representation @comment "the matroid of K_5 the complete graph" 1 1 0 0 0 1 1 1 0 1 1 1 1 0 1 1 1 1 1 0 1 0 1 0 }{ # # the matroid of the complete graph K_5, in a regular representation 1 1 0 0 0 1 1 1 0 1 1 1 1 0 1 1 1 1 1 0 1 0 1 0 @transpose @comment "the dual of K_5 the complete graph" }{ # # the matroid of the graph V_8 (mobius ladder on 8 vert.), in a regular representation @comment "the matroid of the V_8 graph (mobius ladder on 8 vert.)" 1 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1 0 0 0 1 1 }{ # # the matroid of the graph V_8 (mobius ladder on 8 vert.), in a regular representation 1 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1 0 0 0 1 1 @transpose @comment "the dual of the V_8 graph (mobius ladder on 8 vert.)" }{ # # the matroid ND11 - excluded for bw. 3 in binary @comment "the matroid ND11 - excluded for bw. 3 in binary" 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 1 0 1 1 1 1 1 0 0 @require 1+1 0 }{ # # the matroid ND11 - excluded for bw. 3 in binary 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 1 0 1 1 1 1 1 0 0 @require 1+1 0 @comment "the matroid ND14 (dual ND11) - excluded for bw. 3 in binary" }{ # # the matroid ND23 - excluded for bw. 3 in binary @comment "the matroid ND23 - excluded for bw. 3 in binary" 1 1 0 1 1 1 0 1 1 0 0 1 1 1 0 1 1 0 0 1 1 0 1 0 1 @require 1+1 0 }{ # # the matroid R_10 by Seymour, in a regular representation @comment "the matroid R_10 by Seymour" -1 1 0 0 1 1 -1 1 0 0 0 1 -1 1 0 0 0 1 -1 1 1 0 0 1 -1 }