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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Converting modulo flows into integer-valued flows is one of the most critical steps  the study of integer flows. Tutte and Jaegeru0027s pioneering work shows the equivalence of modulo flows and integer-valued flows for ordinary graphs. However, such equivalence no longer holds for signed graphs. This motivates us to study how to convert modulo flows into integer-valued flows for signed graphs. In this paper, we generalize some early results by Xu and Zhang [Discrete Math., 299 (2005), pp. 335--343], Schubert and Steffen [European J. Combin., 48 (2015), pp. 34--47], and Zhu [J. Combin. Theory Ser. B, 112 (2015), pp. 93--103] and show that, for signed graphs, every modulo $(2+frac{1}{p})$-flow with $p in {mathbb Z}^+ cup {infty}$ can be converted/extended into an integer-valued flow.

Signed Graphs: From Modulo Flows to Integer-Valued Flows