On the cyclic connectivity of planar graphs
WebSep. 11: Absolute periods of holomorphic 1-forms on Riemann surfaces Karl Winsor, Harvard University Sep. 18: On the Loewner energy of simple planar curves Yilin Wang, MIT Oct. 2: Elementary surfaces in the Apollonian manifold Yongquan Zhang, Harvard University Oct. 9: From veering triangulations to pseudo-Anosov flows (and back again) … Web1 de jul. de 2009 · Recently, Hubenko [A. Hubenko, On a cyclic connectivity property of directed graphs, Discrete Math. 308 (2008) 1018–1024] proved that each cycle …
On the cyclic connectivity of planar graphs
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WebIn mathematics and computer science, connectivity is one of the basic concepts of graph theory: it asks for the minimum number of elements (nodes or edges) that need to be … Web19 de jul. de 2009 · A cyclic edge cutset is an edge cutset whose deletion disconnects the graph such that two of the components contain a cycle respectively. The cyclic edge …
Web1 de jul. de 2024 · Furthermore, cyclic connectivity remains invariant under graph homeomorphism. All this makes cyclic connectivity a fundamental invariant of cubic graphs. In line with this fact, cyclic connectivity has been investigated from various points of view. We mention some of them. WebAbstract. A cubic graph which is cyclically k -edge connected and has the further property that every edge belongs to some cyclic k -edge cut is called uniformly cyclically k -edge connected (U (k)). We classify the U (5) graphs and show that all cyclically 5-edge connected cubic graphs can be generated from a small finite set of U (5) graphs ...
WebIn this paper, we determine the cyclic vertex (edge) connectivity of the burnt pancake graphs B P n which is the Cayley graph of the group of signed permutations using prefix reversals as generators. By exploring the combinatorial properties and fault-tolerance of B P n, we show κ c ( B P n) = 8 ( n − 2) and λ c ( B P n) = 8 ( n − 2) for ... Web2 de jun. de 2024 · Cyclic connectivity status and cyclic status sequence associated with a fuzzy graph are discussed. A classification of vertices of a network based on the …
WebIn mathematics and computer science, connectivity is one of the basic concepts of graph theory: it asks for the minimum number of elements (nodes or edges) that need to be removed to separate the remaining nodes into two or more isolated subgraphs. It is closely related to the theory of network flow problems. The connectivity of a graph is an …
Web24 de mar. de 2024 · A planar connected graph is a graph which is both planar and connected.The numbers of planar connected graphs with , 2, ... nodes are 1, 1, 2, 6, 20, … how many trimesters in 18 yearsWeb30 de jan. de 2024 · Highly-connected planar cubic graphs with few or many Hamilton cycles. In this paper we consider the number of Hamilton cycles in planar cubic graphs … how many trimesters are there in pregnancyWebSemantic Scholar extracted view of "On the cyclic connectivity of planar graphs" by M. Plummer. Skip to search form Skip to main content Skip to account menu. Semantic … how many trimesters in a yearWebFor certain cases such as the Kuramoto model on the one, two and three-dimensional lattice graphs with different boundary conditions, as well as for complete and planar graphs, all or at least a ... how many trimesters in a pregnancy termWebA cyclic edge cutset is an edge cutset whose deletion disconnects the graph such that two of the components contain a cycle respectively. The cyclic edge connectivity c (G) is the minimum cardinality of all the cyclic edge cutsets of G. There is no polynomial time algorithm to determine the cyclic edge connectivity of a graph. In this paper,we … how many trinity movies are thereWeb1 de mai. de 2008 · It is known that fullerenes, that is, 3-connected cubic planar graphs all of whose faces are pentagons and hexagons, are cyclically 5-edge-connected. In this article it is shown that a fullerene F containing a nontrivial cyclic-5-edge cutset admits two antipodal pentacaps, that is, two antipodal pentagonal faces whose neighboring faces … how many triple bonds are in the ion no2−WebSome suflicient conditions for the 2-extendability of k-connected k-regular (k a 3) planar graphs are given. In particular, it is proved that for k a 3, a k-connected k-regular planar graph with each cyclic cutset of sufficiently large size is 2-extendable. how many triple crown winners are there