[图书][B] Feedback arc set: a history of the problem and algorithms

R Kudelić - 2022 - books.google.com
The main aim of the book is to give a review of all relevant information regarding a well-
known and important problem of Feedback Arc Set (FAS). This review naturally also …

Finding small feedback arc sets on large graphs

Z Xiong, Y Zhou, M Xiao, B Khoussainov - Computers & Operations …, 2024 - Elsevier
The minimum feedback arc set problem (FASP), which seeks to remove a minimum set of
arcs from a directed graph to make the remaining graph acyclic, is fundamental in graph …

Efficient heuristics to compute minimal and stable feedback arc sets

C Cavallaro, V Cutello, M Pavone - Journal of Combinatorial Optimization, 2024 - Springer
Given a directed graph\(G=(V, A)\), we tackle the Minimum Feedback Arc Set (MFAS)
Problem by designing an efficient algorithm to search for minimal and stable Feedback Arc …

Feedback Arc Set

R Kudelić - Feedback Arc Set: A History of the Problem and …, 2022 - Springer
The chapter deals with the problem and the name, origin of the FAS, and its description.
Hardness is argued, including in the extended version. Various often used, and some not …

Papers and Algorithms

R Kudelić - Feedback Arc Set: A History of the Problem and …, 2022 - Springer
The chapter presents what would in a nutshell be a traveling through time with the problem
of Feedback Arc Set. The review goes from the first paper, jumping through a number of …

Having the Right Tool

R Kudelić - Feedback Arc Set: A History of the Problem and …, 2022 - Springer
After dealing with everything important Feedback Arc Set in the first chapter of the book, and
after presenting a number of algorithms, giving both breadth and depth, in the second …

[PDF][PDF] Effective Heuristics for Finding Small Minimal Feedback Arc Set Even for Large Graphs.

C Cavallaro, V Cutello, M Pavone - itaDATA, 2023 - ceur-ws.org
Given a directed graph G=(V, E), we present a heuristic based algorithm to tackle the
general Minimum Feedback Arc Problem with the goal of finding good (and often optimal) …

[HTML][HTML] Biggs Theorem for Directed Cycles and Topological Invariants of Digraphs

M Hecht, IF Sbalzarini - Advances in Pure Mathematics, 2021 - scirp.org
We generalize Biggs Theorem to the case of directed cycles of multi-digraphs allowing to
compute the dimension of the directed cycle space independently of the graph …

[PDF][PDF] Influence of Graph Characteristics on Solutions of Feedback Arc Set Problem

EL Grošelj, T Poljanšek - scores.si
Influence of Graph Characteristics on Solutions of Feedback Arc Set Problem Page 1
Influence of Graph Characteristics on Solutions of Feedback Arc Set Problem Ema Leila …