Signed Distance in Signed Graphs

التفاصيل البيبلوغرافية
العنوان: Signed Distance in Signed Graphs
المؤلفون: K, Shahul Hameed, T V, Shijin, P, Soorya, A, Germina K, Zaslavsky, Thomas
المصدر: Linear Algebra and its Applications 608 (2021), 236--247
سنة النشر: 2020
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Combinatorics, Primary 05C12, Secondary 05C22, 05C50, 05C75
الوصف: Signed graphs have their edges labeled either as positive or negative. Here we introduce two types of signed distance matrix for signed graphs. We characterize balance in signed graphs using these matrices and we obtain explicit formulae for the distance spectrum of some unbalanced signed graphs. We also introduce the notion of distance-compatible signed graphs and partially characterize it.
Comment: v1: 11 pp. v2: 16 pp with more eigenvalue results and 2 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2005.06202
رقم الأكسشن: edsarx.2005.06202
قاعدة البيانات: arXiv