Min Cut is NP-Complete for Edge Weigthed Trees
نویسندگان
چکیده
We show that the Min Cut Linear Arrangement Problem (Min Cut) is NP-complete for trees with polynomial size edge weights and derive from this the NP-completeness of Min Cut for planar graphs with maximum vertex degree 3. This is used to show the NP-completeness of Search Number, Vertex Separation, Progressive Black/ White Pebble Demand, and Topological Bandwidth for planar graphs with maximum vertex degree 3.
منابع مشابه
Partitionability to two trees is NP-complete
We show that P2T-the problem of deciding whether the edge set of a simple graph can be partitioned into two trees or not-is NP-complete. It is a well known that deciding whether the edge set of a graph can be partitioned into k spanning trees or not is in P [1]. Recently András Frank asked what we know about partitioning the edge set of a graph into k (not necessarily spanning) trees. One can e...
متن کاملDrawing (Complete) Binary Tanglegrams: Hardness, Approximation, Fixed-Parameter Tractability
A binary tanglegram is a drawing of a pair of rooted binary trees whose leaf sets are in one-toone correspondence; matching leaves are connected by inter-tree edges. For applications, for example, in phylogenetics, it is essential that both trees are drawn without edge crossings and that the inter-tree edges have as few crossings as possible. It is known that finding a tanglegram with the minim...
متن کاملThe Edge-Disjoint Paths Problem is NP-Complete for Partial k-Trees
Many combinatorial problems are NP-complete for general graphs, but are not NP-complete for partial k-trees (graphs of treewidth bounded by a constant k) and can be efficiently solved in polynomial time or mostly in linear time for partial k-trees. On the other hand, very few problems are known to be NP-complete for partial k-trees with bounded k. These include the subgraph isomorphism problem ...
متن کاملThe edge-disjoint paths problem is NP-complete for series-parallel graphs
Many combinatorial problems are NP-complete for general graphs. However, when restricted to series–parallel graphs or partial k-trees, many of these problems can be solved in polynomial time, mostly in linear time. On the other hand, very few problems are known to be NP-complete for series–parallel graphs or partial k-trees. These include the subgraph isomorphism problem and the bandwidth probl...
متن کاملOn Approximate Min-Max Theorems for Graph Connectivity Problems by Lap
On Approximate Min-Max Theorems for Graph Connectivity Problems Lap Chi Lau Doctor of Philosophy Graduate Department of Computer Science University of Toronto 2006 Given an undirected graph G and a subset of vertices S ⊆ V (G), we call the vertices in S the terminal vertices and the vertices in V (G) − S the Steiner vertices. In this thesis, we study two problems whose goals are to achieve high...
متن کاملذخیره 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 ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Theor. Comput. Sci.
دوره 58 شماره
صفحات -
تاریخ انتشار 1986