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On the sizes of graphs and their powers: The undirected case

✍ Scribed by David Auger; Irène Charon; Olivier Hudry; Antoine Lobstein


Book ID
113564621
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
430 KB
Volume
159
Category
Article
ISSN
0166-218X

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📜 SIMILAR VOLUMES


On the distribution of eigenvalues of a
✍ Xuerong Yong 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 86 KB

For a simple, undirected graph q n , let k i q n be the ith largest eigenvalue of q n . This paper presents mainly the following: 1. For n P 4, if q n is incomplete, then 2. Seven sucient and necessary conditions such that k 2 q n À1. 3. k 3 q n À1 implies that k j q n À1Y j 3Y 4Y F F F Y n À 1.

The undirected graph and estimates of ma
✍ Luoluo Li 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 385 KB

With the help of the undirected graph of a matrix we establish new theorems for estimating the singular values. The location of singular values of a matrix A is described in terms of its deleted absolute row sums and column sums. The formulation has an appearance analogous to Brauer's and Brualdi's