193 search results - page 1 / 39 » Duality in Infinite Graphs |
CPC
2006
13 years 5 months ago
2006
The adaption of combinatorial duality to infinite graphs has been hampered by the fact that while cuts (or cocycles) can be infinite, cycles are finite. We show that these obstruc...
CPC
2010
13 years 5 months ago
2010
We investigate the end spaces of infinite dual graphs. We show that there exists a natural homeomorphism between the end spaces of a graph and its dual, and that this homeomorphis...
SIAMDM
2010
13 years 5 days ago
2010
Abstract. Squaregraphs were originally defined as finite plane graphs in which all inner faces are quadrilaterals (i.e., 4-cycles) and all inner vertices (i.e., the vertices not in...
EJC
2010
13 years 5 months ago
2010
We use group theory to construct infinite families of maps on surfaces which are invariant under Wilson's map operations of order 3 but not under the operations of order 2, s...
SIAMJO
2008
13 years 5 months ago
2008
By considering the epigraphs of conjugate functions, we extend the Fenchel duality, applicable to a (possibly infinite) family of proper lower semicontinuous convex functions on a ...