Unmixed r-partite graphs
Reza Jafarpoure Golzari, Rashid Zaare-Nahandi

TL;DR
This paper extends the characterization of unmixed bipartite graphs to unmixed r-partite graphs under a specific condition, generalizing Villarreal's theorem and providing illustrative examples and counterexamples.
Contribution
It introduces a new characterization of unmixed r-partite graphs that generalizes existing bipartite graph results, with additional examples and counterexamples.
Findings
Established a new characterization for unmixed r-partite graphs.
Generalized Villarreal's theorem from bipartite to r-partite graphs.
Provided relevant examples and counterexamples.
Abstract
Unmixed bipartite graphs have been characterized by Ravadra and Villarreal independently. Our aim in this paper is to characterize unmixed r-partite graphs under a certain condition, witch is a generalization of villarreal's theorem on bipartite graphs. Also we give some examples and counterexamples in relevance this subject.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGraph Labeling and Dimension Problems · graph theory and CDMA systems · Advanced Graph Theory Research
