The broken-circuit complex
The broken-circuit complex
The <italic>broken-circuit complex</italic> introduced by H. Wilf (<italic>Which polynomials are chromatic</italic>?, Proc. Colloq. Combinational Theory (Rome, 1973)) of a matroid <italic>G</italic> is shown to be a cone over a related complex, the <italic>reduced broken-circuit complex</italic> <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="script upper C prime left-parenthesis upper G right-parenthesis"> <mml:semantics> <mml:mrow> <mml:msup> …