Zobrazeno 1 - 10
of 56
pro vyhledávání: '"David Barnette"'
Publikováno v:
International Ophthalmology Clinics. 49:1-16
Autor:
Shelley Gillet, David Barnette
Publikováno v:
Discrete Mathematics. 195:239-243
Although questions about Eulerian circuits, paths, and covering edges by edge disjoint paths are easily answered for graphs or directed graphs, they are not easily answered if some edges are directed and others are not. We give necessary and sufficie
Autor:
David Barnette
Publikováno v:
Israel Journal of Mathematics. 86:397-407
We show that the 3-connected graphs can be generated from the complete graph on four vertices and the complete 3,3 bipartite graph by adding vertices and adding edges with endpoints on two edges meeting at a 3-valent vertex.
Autor:
David Barnette, Adrian Riskin
Publikováno v:
Discrete Mathematics. 131(1-3):211-219
In this paper we show that if attention is restricted to polyhedral embeddings of graphs, no theorem analogous to the Duke interpolation theorem for 2-cell embeddings is true. We also give two interesting classes of graphs: (i) a class in which the m
Autor:
David Barnette
Publikováno v:
Geometriae Dedicata. 46:211-214
We construct the first known polyhedral 2-manifoldM that does not have thew v-property, i.e. there are two verticesx andy inM such that any path fromx toy must revisit some face of the manifold.
Autor:
David Barnette
Publikováno v:
Israel Journal of Mathematics. 79:251-256
We show that the vertices of the graph of any polyhedral map on the projective plane, torus or Klein bottle can be covered by a subgraph that is a tree of maximum valence 3. This extends a theorem of the author, who previously proved this theorem for
Autor:
David Barnette
Publikováno v:
Israel Journal of Mathematics. 79:161-172
An embedding of a multi-graph in a manifold is a closed 2-cell embedding provided the closures of the faces are all closed 2-cells. In this paper we characterized the projective planar multi-graphs that have closed 2-cell embeddings in the projective
Autor:
E Victor, Ross, Michael, Swann, Seaver, Soon, Arash, Izadpanah, David, Barnette, Scott, Davenport
Publikováno v:
Journal of drugs in dermatology : JDD. 8(3)
Traditional full-face resurfacing has been limited to erbium-doped yttrium aluminium garnet (Er:YAG) and carbon dioxide (CO2) lasers. These devices offer wavelength-specific advantages and disadvantages.Nine patients were enrolled in a pilot study of
Publikováno v:
Journal of Combinatorial Theory, Series A. 58(2):279-300
The paper deals with the problem of realizing polyhedral maps by polyhedra. Here, a polyhedral map is a two-dimensional cell-complex whose underlying point set is a closed topological manifold in some finite dimensional real space R d and a polyhedro
Autor:
David Barnette
Publikováno v:
Israel Journal of Mathematics. 73:91-95
We characterize the graphs that have polyhedral embeddings in the projective plane. We also prove that if one embedding of a graph is polyhedral then all embeddings of that graph are polyhedral.