2 papers
math.CO2021
Into the Woods: A graph theoretic proof of the Dodgson/Muir identity
Melanie Fraser
The Dodgson/Muir Identity is an identity on determinants of matrix minors that generalizes the Dodgson Identity. Using the matrix tree theorem, we create an equivalent forest ident…
math.CO2021
Column expansion identities and quadratic spanning forest identities
Melanie Fraser, Karen Yeats
Column expansion identities of determinants give a source of quadratic spanning forest polynomial identities and allow us determine the dimension of the space of certain quadratic…