The disjoint curve property
نویسندگان
چکیده
منابع مشابه
The disjoint curve property
A Heegaard splitting of a closed, orientable three-manifold satisfies the disjoint curve property if the splitting surface contains an essential simple closed curve and each handlebody contains an essential disk disjoint from this curve [Thompson, 1999]. A splitting is full if it does not have the disjoint curve property. This paper shows that in a closed, orientable three-manifold all splittin...
متن کاملThe disjoint arcs property for homogeneous curves
The local structure of homogeneous continua (curves) is studied. Components of open subsets of each homogeneous curve which is not a solenoid have the disjoint arcs property. If the curve is aposyndetic, then the components are nonplanar. A new characterization of solenoids is formulated: a continuum is a solenoid if and only if it is homogeneous, contains no terminal nontrivial subcontinua and...
متن کاملA Property on Edge-disjoint Spanning Trees
The graphs in this note are finite and undirected . We allow multiple edges , but forbid loops . We shall use the notation of Bondy and Murty [1] , unless otherwise stated . Let G be a graph with E ( G ) ? [ . Let τ ( G ) denote the number of edge-disjoint spanning trees of G . For X ‘ E ( G ) , the notation G ( X ) denotes the spanning subgraph of G with edge set X , whereas G [ X ] denotes th...
متن کاملGroupoids, the Phragmen-brouwer Property, and the Jordan Curve Theorem
We publicise a proof of the Jordan Curve Theorem which relates it to the Phragmen-Brouwer Property, and whose proof uses the van Kampen theorem for the fundamental groupoid on a set of base points.
متن کاملThe property of edge-disjoint Hamiltonian cycles in transposition networks and hypercube-like networks
The presence of edge-disjoint Hamiltonian cycles provides an advantage when implementing algorithms that require a ring structure by allowing message traffic to be spread evenly across the network. Edge-disjoint Hamiltonian cycles also provide the edge-fault tolerant hamiltonicity of an interconnection network. In this paper, we first study the property of edge-disjoint Hamiltonian cycles in tr...
متن کاملذخیره 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: Geometry & Topology
سال: 2004
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2004.8.77