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Showing 2003 · math.COShow all
3 papers · 2 filters
math.CO2003
The partial-fractions method for counting solutions to integral linear systems
Matthias Beck
We present a new tool to compute the number $ϕ_\A (\b)$ of integer solutions to the linear system $$ \x \geq 0 \qquad \A \x = \b $$ where the coefficients of $\A$ and $\b$ are inte…
math.CO2003★ 1 cited
The Number of Nowhere-Zero Flows on Graphs and Signed Graphs
Matthias Beck, Thomas Zaslavsky
A nowhere-zero -flow on a graph is a mapping from the edges of to the set such that, in any fixed orientation of , at eac…
math.CO2003★ 1 cited
Inside-Out Polytopes
Matthias Beck, Thomas Zaslavsky
We present a common generalization of counting lattice points in rational polytopes and the enumeration of proper graph colorings, nowhere-zero flows on graphs, magic squares and g…