On cleaving a planar graph

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

A discrete curvature on a planar graph

Given a planar graph derived from a spherical, euclidean or hyperbolic tessellation, one can define a discrete curvature by combinatorial properties, which after embedding the graph in a compact 2d-manifold, becomes the Gaussian curvature .

متن کامل

A note on isosceles planar graph drawing

We show that there exist triangulations that do not admit any planar straight-line drawing in which every face is an isosceles triangle, thus partially solving a question posed in [Demaine, Mitchell, O’Rourke – The Open Problems Project ].

متن کامل

Untangling a Planar Graph

A straight-line drawing δ of a planar graph G need not be plane, but can be made so by untangling it, that is, by moving some of the vertices of G. Let shift(G, δ) denote the minimum number of vertices that need to be moved to untangle δ. We show that shift(G, δ) is NP-hard to compute and to approximate. Our hardness results extend to a version of 1BendPointSetEmbeddability, a well-known graph-...

متن کامل

Planar graph is on fire

Let G be any connected graph on n vertices, n ≥ 2. Let k be any positive integer. Suppose that a fire breaks out on some vertex of G. Then in each turn k firefighters can protect vertices of G — each can protect one vertex not yet on fire; Next a fire spreads to all unprotected neighbours. The k-surviving rate of G, denoted by ρ k (G), is the expected fraction of vertices that can be saved from...

متن کامل

On Simultaneous Planar Graph Embeddings

We consider the problem of simultaneous embedding of planar graphs. There are two variants of this problem, one in which the mapping between the vertices of the two graphs is given and another in which the mapping is not given. We present positive and negative results for the two versions of the problem. Among the positive results with given mapping, we show that we can embed two paths on an n×...

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: 1990

ISSN: 0012-365X

DOI: 10.1016/0012-365x(90)90183-i