Forbidden directed minors and Kelly-width

نویسندگان

  • Shiva Kintali
  • Qiuyi Zhang
چکیده

Partial 1-trees are undirected graphs of treewidth at most one. Similarly, partial 1-DAGs are directed graphs of KellyWidth at most two. It is well-known that an undirected graph is a partial 1-tree if and only if it has no K3 minor. In this paper, we generalize this characterization to partial 1-DAGs. We show that partial 1-DAGs are characterized by three forbidden directed minors, K3, N4 and M5.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Forbidden Directed Minors and Directed Pathwidth

Undirected graphs of pathwidth at most one are characterized by two forbidden minors i.e., (i) K3 the complete graph on three vertices and (ii) S2,2,2 the spider graph with three legs of length two each [BFKL87]. Directed pathwidth is a natural generalization of pathwidth to digraphs. In this paper, we prove that digraphs of directed pathwidth at most one are characterized by a finite number of...

متن کامل

Algorithms and Obstructions for Linear-width and Related Search Parameters 1

The linear-width of a graph G is deened to be the smallest integer k such that the edges of G can be arranged in a linear ordering (e 1 ; : : :; e r) in such a way that for every i = 1; : : :; r ? 1, there are at most k vertices incident to edges that belong both to fe 1 ; : : :; e i g and to fe i+1 ; : : :; e r g. In this paper, we give a set of 57 graphs and prove that it is the set of the mi...

متن کامل

Algorithms and obstructions for linear-width and related search parameters

The linear-width of a graph G is de ned to be the smallest integer k such that the edges of G can be arranged in a linear ordering (e1; : : : ; er) in such a way that for every i = 1; : : : ; r 1, there are at most k vertices incident to edges that belong both to fe1; : : : ; eig and to fei+1; : : : ; erg. In this paper, we give a set of 57 graphs and prove that it is the set of the minimal for...

متن کامل

An Upper Bound on the Size of Obstructions for Bounded Linear Rank-Width

We provide a doubly exponential upper bound in p on the size of forbidden pivot-minors for symmetric or skew-symmetric matrices over a fixed finite field F of linear rank-width at most p. As a corollary, we obtain a doubly exponential upper bound in p on the size of forbidden vertex-minors for graphs of linear rank-width at most p. This solves an open question raised by Jeong, Kwon, and Oum [Ex...

متن کامل

Partial tracks, characterizations and recognition of graphs with path-width at most two

Nancy G. Kinnersley and Michael A. Langston has determined [3] the excluded minors for the class of graphs with path-width at most two. Here we give a simpler presentation of their result. This also leads us to a new characterization, and a linear time recognition algorithm for graphs width path-width at most two. 1 History and introduction Based on the seminal work of Seymour and Robertson [4]...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Theor. Comput. Sci.

دوره 662  شماره 

صفحات  -

تاریخ انتشار 2017