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pro vyhledávání: '"Laura Patuzzi"'
Autor:
Nair Maria Maia de Abreu, Liliana Manuela Gaspar Cerveira da Costa, Carlos Henrique Pereira Nascimento, Laura Patuzzi
Publikováno v:
Trends in Computational and Applied Mathematics, Vol 20, Iss 1 (2019)
The matching polytope of a graph G, denoted by M(G), is the convex hull of the set of the incidence vectors of the matchings G. The graph G(M(G)), whose vertices and edges are the vertices and edges of M(G), is the skeleton of the matching polytope o
Externí odkaz:
https://doaj.org/article/23ac50196f4c4180aab3097400ee3688
Autor:
Carlos Augusto de Alcântara Nascimento, Nair Maria Maia de Abreu, Laura Patuzzi, Liliana Manuela Gaspar Cerveira da Costa
Publikováno v:
Discrete Applied Mathematics. 269:27-31
Let G be a simple graph. A set of pairwise disjoint edges is a matching of G . The matching polytope of G , denoted M ( G ) , is the convex hull of the set of the incidence vectors of the matchings of G . The graph G ( M ( G ) ) , whose vertices and
Publikováno v:
Linear Algebra and its Applications. 496:381-391
This note presents a new spectral version of the graph Zarankiewicz problem: How large can be the maximum eigenvalue of the signless Laplacian of a graph of order n that does not contain a specified complete bipartite subgraph. A conjecture is stated
Publikováno v:
Linear Algebra and its Applications. 442:106-114
In this article we study the index (the largest eigenvalue of the adjacency matrix) in two special classes of trees, namely: starlike trees and double brooms. For each class, we determine conditions for the index to be integer. We examine conditions
Publikováno v:
Filomat. 28:241-248
We characterize when a tree of diameter 4 has integer index and we provide examples of infinite families of non-integral trees with integer index. We also determine a tight upper bound for the index of any tree of diameter 4 based on its maximum degr
Autor:
Carlos Henrique Pereira Nascimento, Nair Maria Maia de Abreu, Laura Patuzzi, Liliana Manuela Gaspar Cerveira da Costa
Publikováno v:
TEMA (São Carlos). 20:189
The matching polytope of a graph G, denoted by M(G), is the convex hull of the set of the incidence vectors of the matchings G. The graph G(M(G)), whose vertices and edges are the vertices and edges of M(G), is the skeleton of the matching polytope o
Publikováno v:
The Electronic Journal of Linear Algebra. 26
This paper gives tight upper bounds on the largest eigenvalue q (G) of the signless Laplacian of graphs with no 4-cycle and no 5-cycle. If n is odd, let Fn be the friendship graph of order n; if n is even, let Fn be Fn−1 with an extra edge hung to