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Graph Laplacians, nodal domains, and hyperplane arrangements

✍ Scribed by Türker Bıyıkoğlu; Wim Hordijk; Josef Leydold; Tomaž Pisanski; Peter F. Stadler


Book ID
108198730
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
308 KB
Volume
390
Category
Article
ISSN
0024-3795

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Graph homomorphisms and nodal domains
✍ Amir Daneshgar; Hossein Hajiabolhassan 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 137 KB

In this paper, we derive some necessary spectral conditions for the existence of graph homomorphisms in which we also consider some parameters related to the corresponding eigenspaces such as nodal domains. In this approach, we consider the combinatorial Laplacian and co-Laplacian as well as the adj