Editing to Eulerian graphs

Konrad K. Dabrowski*, Petr A. Golovach, Pim van 't Hof, Daniël Paulusma

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)
80 Downloads (Pure)


The Eulerian Editing problem asks, given a graph G and an integer k, whether G can be modified into an Eulerian graph using at most k edge additions and edge deletions. We show that this problem is polynomial-time solvable for both undirected and directed graphs. We generalize these results for problems with degree parity constraints and degree balance constraints, respectively. We also consider the variants where vertex deletions are permitted. Combined with known results, this leads to full complexity classifications for both undirected and directed graphs and for every subset of the three graph operations.
Original languageEnglish
Pages (from-to)213-228
JournalJournal of computer and system sciences
Issue number2
Publication statusPublished - 2016
Externally publishedYes


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