The least eigenvalue of a graph with cut vertices

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the Least Eigenvalue of Graphs with Cut Vertices

Let S be a certain set of graphs. A graph is called a minimizing graph in the set S if its least eigenvalue attains the minimum among all graphs in S . In this paper, we determine the unique minimizing graph in Gn, where Gn denotes the set of connected graphs of order n with cut vertices.

متن کامل

Finding Cut-Vertices in the Square Roots of a Graph

The square of a given graph H = (V,E) is obtained from H by adding an edge between every two vertices at distance two in H. Given a graph class H, the H-Square Root problem asks for the recognition of the squares of graphs in H. In this paper, we answer positively to an open question of [Golovach et al., IWOCA’16] by showing that the squares of cactus block graphs can be recognized in polynomia...

متن کامل

The Chromatic Number and the Least Eigenvalue of a Graph

In this paper we get a structural property for a graph having the minimal least eigenvalue among all graphs of fixed order and given chromatic number, and characterize such graphs under the condition that the chromatic number is not larger than half the order of the graph. As a result, we obtain a lower bound on the least eigenvalue in terms of the chromatic number, and an upper bound on the ch...

متن کامل

On the Second Least Distance Eigenvalue of a Graph

Let G be a connected graph on n vertices, and let D(G) be the distance matrix of G. Let ∂1(G) ≥ ∂2(G) ≥ · · · ≥ ∂n(G) denote the eigenvalues of D(G). In this paper, the connected graphs with ∂n−1(G) at least the smallest root of x3 − 3x2 − 11x− 6 = 0 are determined. Additionally, some non-isomorphic distance cospectral graphs are given.

متن کامل

Blocks and Cut Vertices of the Buneman Graph

Given a set Σ of bipartitions of some finite set X of cardinality at least 2, one can associate to Σ a canonical X-labeled graph B(Σ), called the Buneman graph. This graph has several interesting mathematical properties — for example, it is a median network and therefore an isometric subgraph of a hypercube. It is commonly used as a tool in studies of DNA sequences gathered from populations. In...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 2010

ISSN: 0024-3795

DOI: 10.1016/j.laa.2010.01.030