1 citations · 1 across the 11 of their papers we have counts for
6 papers · 1 filter
Feedback edge set in bipartite digraph
Bin Chen, Jianfeng Hou, Siyue Liu
Let \(β(G)\) denote the minimum size of a feedback edge set of a digraph \(G\), and let \(γ(G)\) denote the number of unordered pairs of nonadjacent vertices. Motivated by the Chud…
Lattice Structure and Efficient Basis Construction for Strongly Connected Orientations
Siyue Liu, Olha Silina
Let be a bidirected graph whose underlying undirected graph is -edge-connected. A strongly connected orientation (SCO) is defined as a subset…
A Min-Max Relation on Dicuts and Dijoins in Weighted Chordal Digraphs
Gérard Cornuéjols, Siyue Liu, R. Ravi
In a digraph, a dicut is a cut where all the arcs cross in one direction. A dijoin is a subset of arcs that intersects every dicut. Edmonds and Giles conjectured that in a weighted…
Strongly connected orientations and integer lattices
Ahmad Abdi, Gérard Cornuéjols, Siyue Liu +1
Let be a digraph whose underlying undirected graph is -edge-connected, and let be the polytope whose vertices are the incidence vectors of arc sets whose reversal…
On the Congruency-Constrained Matroid Base
Siyue Liu, Chao Xu
Consider a matroid where all elements are labeled with an element in . We are interested in finding a base where the sum of the labels is congruent to . We s…
Approximately Packing Dijoins via Nowhere-Zero Flows
Gérard Cornuéjols, Siyue Liu, R. Ravi
In a digraph, a dicut is a cut where all the arcs cross in one direction. A dijoin is a subset of arcs that intersects each dicut. Woodall conjectured in 1976 that in every digraph…