Carlos Saiago is the author of Álgebra Linear ( avg rating, 5 ratings, 0 reviews, published ) and Álgebra Linear Teoria, Exercícios Cecília Perdigão. Cecília Perdigão studies Teoria Dos Grafos, Education, and History. Linear Algebra and its Applications () – rank of matrices and the equivalence class graph 聻 Rosário Fernandes ∗, Cecília Perdigão.

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Content tecla de atalho: Being in these conditions, any student can be approved doing the normal tests or the recourse exam. Product details Paperback Publisher: Recommend this page Top. Hogben, Spectral graph theory and the inverse eigenvalue problem of a graph, Electron J. The teachers of this course will also set a Schedule to receive the students beyond class time.

### Isabel Cabral (Author of Álgebra Linear)

A pendent path incident with x is a path v1v2. The fundamental concepts include algebraic structures, linear or vector distance, matrix analysis and linear transformations. For this we have to define Definition 3. Projections and Orthogonality; 5. We denote by N x the set of all neighbors of x in G, i. Learn more about Amazon Prime.

Then, there exists, at most, one pendent path incident with x of odd order. Other occurrences See Lesson Summaries Exams. Master in Electrical and Computers Engineering. In particular when G is an unicyclic graph, the problem was solved in [3].

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Linear Algebra and its Applications — www. Write a customer review. Hogben, On the difference between the maximum multiplicity and path cover number for tree-like alfebra, Linear Algebra Appl.

The equivalence relation R All graphs discussed in this paper are simple, connected and undirected.

### Carlos Saiago ( of Álgebra Linear)

In theoretical classes important concepts and associated results will be presented, giving special emphasis to geometrical interpretations and their practical applications. Enter the email address you signed up with and we’ll email you a reset link.

Acknowledgments The authors would like to thank to the referee for helpful suggestions and ideas. Recall that the order of a graph is the number of vertices of the graph. Easily, we can see that the rows 2. Help Center Find new research papers in: Math 8 — Shopbop Designer Fashion Brands. Leal Duarte, The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree, Linear and Multilinear Algebra 46 — Let Rl be the l-row of B. The main result of this section is Theorem 3.

Since in B the additional entries in these rows are all 0, Eq. Let H be the subgraph of G induced by the vertices of X. Assume, without loss of generality, the order x11. Let B be the adjacency matrix of G. English Choose a language for shopping. Thus, G has, at most, one pendent path of odd order. Several authors have been interested on the multiplicity of the eigenvalues of the matrices whose graph is a tree, e.

Linear Algebra 14 12— Implications to the minimum rank of graphs, Electron. Systems of Linear Equations and Matrixes; 2.

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East Dane Designer Men’s Fashion. Alexa Actionable Analytics for the Web. Linear Algebra 14 32— Linear Algebra 13 — Students are admitted to exams if: If a student is not approved by tests, he can still perform the recourse exam.

Log In Sign Up. Graphs; Hermitian matrices; Minimum rank 1. Aiming to clarify the definitions and theorems presented, demonstrations will be given each and every time that these might help to achieve that understanding and the students will aogebra given illustrative exercises to solve. There are no another classes with cardinality one, so G satisfies the hypothesis of Theorem 3.