On some Graphs with a Unique Perfect Matching

التفاصيل البيبلوغرافية
العنوان: On some Graphs with a Unique Perfect Matching
المؤلفون: Chaplick, S., Fürst, M., Maffray, F., Rautenbach, D.
سنة النشر: 2017
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Mathematics - Combinatorics, Computer Science - Discrete Mathematics
الوصف: We show that deciding whether a given graph $G$ of size $m$ has a unique perfect matching as well as finding that matching, if it exists, can be done in time $O(m)$ if $G$ is either a cograph, or a split graph, or an interval graph, or claw-free. Furthermore, we provide a constructive characterization of the claw-free graphs with a unique perfect matching.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1712.04228
رقم الأكسشن: edsarx.1712.04228
قاعدة البيانات: arXiv