English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This work addresses the NP-Hard problem of acyclic directed acyclic graph(DAG) partitioning problem. The acyclic partitioning problem is defined aspartitioning the vertex set of a given directed acyclic graph into disjoint andcollectively exhaustive subsets (parts). Parts are to be assigned such that thetotal sum of the vertex weights within each part satisfies a common upper boundand the total sum of the edge costs that connect nodes across different partsis minimized. Additionally, the quotient graph, i.e., the induced graph whereall nodes that are assigned to the same part are contracted to a single nodeand edges of those are replaced with cumulative edges towards other nodes, isalso a directed acyclic graph. That is, the quotient graph itself is also agraph that contains no cycles. Many computational and real-life applicationssuch as in computational task scheduling, RTL simulations, scheduling ofrail-rail transshipment tasks and Very Large Scale Integration (VLSI) designmake use of acyclic DAG partitioning. We address the need for a simple andelegant mathematical formulation for the acyclic DAG partitioning problem thatenables easier understanding, communication, implementation, andexperimentation on the problem.

A Simple and Elegant Mathematical Formulation for the Acyclic DAG Partitioning Problem