Reducible chains in several types of 2-connected graphs

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

Reducible chains in several types of 2-connected graphs

Zhang, F. and X. Guo, Reducible chains in several types of 2-connected graphs, Discrete Mathematics 105 (1992) 285-291. Let F& 4, $ and 8 denote the sets of all 2-connected graphs, minimally 2-connected graphs, critically 2-connected graphs, and critically and minimally 2-connected graphs, respectively. We introduce the concept of %,-reducible chains of a graph G in %,, i = 0, 1, 2, 3, and give...

متن کامل

Reducible chains of planar 1-cycle resonant graphs

A connected graph G is said to be k-cycle resonant if, for 16 t6 k, any t disjoint cycles in G are mutually resonant, that is, there is a perfect matching M of G such that each of the t cycles is an M -alternating cycle. The concept of k-cycle resonant graphs was introduced by the present authors in 1994. Some necessary and su4cient conditions for a graph to be k-cycle resonant were given. Rece...

متن کامل

Nonseparating Planar Chains in 4-Connected Graphs

In this paper, we describe an O(|V (G)|) algorithm for finding a “non-separating planar chain” in a 4-connected graph G, which will be used to decompose an arbitrary 4-connected graph into “planar chains”. This work was motivated by the study of a multi-tree approach to reliability in distributed networks, as well as the study of non-separating induced paths in highly connected graphs. Supporte...

متن کامل

Cycles in 2-connected graphs

Let Gn be a class of graphs on n vertices. For an integer c, let ex(Gn, c) be the smallest integer such that if G is a graph in Gn with more than ex(Gn, c) edges, then G contains a cycle of length more than c. A classical result of Erdös and Gallai is that if Gn is the class of all simple graphs on n vertices, then ex(Gn, c) = c 2 (n − 1). The result is best possible when n − 1 is divisible by ...

متن کامل

Reducible properties of graphs

Let IL be the set of all hereditary and additive properties of graphs. For P1,P2 ∈ IL, the reducible property R = P1 ◦ P2 is defined as follows: G ∈ R if and only if there is a partition V (G) = V1 ∪ V2 of the vertex set of G such that 〈V1〉G ∈ P1 and 〈V2〉G ∈ P2. The aim of this paper is to investigate the structure of the reducible properties of graphs with emphasis on the uniqueness of the dec...

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: Discrete Mathematics

سال: 1992

ISSN: 0012-365X

DOI: 10.1016/0012-365x(92)90151-5