Minor-Closed Graph Classes with Bounded Layered Pathwidth

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

Square Roots of Minor Closed Graph Classes

Let G be a graph class. The square root of G contains all graphs whose square belong in G. We prove that if G is non-trivial and minor closed, then all graphs in its square root have carving-width bounded by some constant depending only on G. As a consequence, every square root of such a graph class has a linear time recognition algorithm.

متن کامل

Learning Minor Closed Graph Classes with Membership and Equivalence Queries

The paper considers the problem of learning classes of graphs closed under taking minors It is shown that any such class can be properly learned in polynomial time using membership and equivalence queries The representation of the class is in terms of a set of minimal excluded minors obstruction set

متن کامل

Posets with Cover Graph of Pathwidth two have Bounded Dimension

Joret, Micek, Milans, Trotter, Walczak, and Wang recently asked if there exists a constant d such that if P is a poset with cover graph of P of pathwidth at most 2, then dim(P ) ≤ d. We answer this question in the affirmative. We also show that if P is a poset containing the standard example S5 as a subposet, then the cover graph of P has treewidth at least 3.

متن کامل

Strengthening Erdös-Pósa property for minor-closed graph classes

Let H and G be graph classes. We say that H has the Erd”os–Pósa property for G if for any graph G∈G, the minimum vertex covering of all H-subgraphs of G is bounded by a function f of the maximum packing of H-subgraphs in G (by H-subgraph of G we mean any subgraph of G that belongs to H). Robertson and Seymour [J Combin Theory Ser B 41 (1986), 92–114] proved that if H is the class of all graphs ...

متن کامل

Minimum Spanning Trees for Minor-Closed Graph Classes in Parallel

For each minor-closed graph class we show that a simple variant of Borůvka’s algorithm computes a MST for any input graph belonging to that class with linear costs. Among minor-closed graph classes are e.g planar graphs, graphs of bounded genus, partial k-trees for fixed k, and linkless or knotless embedable graphs. The algorithm can be implemented on a CRCW PRAM to run in logarithmic time with...

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: SIAM Journal on Discrete Mathematics

سال: 2020

ISSN: 0895-4801,1095-7146

DOI: 10.1137/18m122162x