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 ... Web18 de jul. de 2009 · 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 develop a polynomial time algorithm to determine the cyclic edge connectivity of a planar graph.
A -dimensional extension of Christoffel words
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 … Web30 de jan. de 2024 · In this paper we consider the number of Hamilton cycles in planar cubic graphs of high cyclic edge-connectivity, answering two questions raised by Chia and Thomassen ("On the number of longest and almost longest cycles in cubic graphs", Ars Combin., 104, 307--320, 2012) about extremal graphs in these families. iphone se 1g
A ring network with alternating consumer and generator nodes.
Web24 de mar. de 2024 · Cyclic edge connectivity is most commonly encountered in the definition of snark graphs, which are defined as cubic cyclically 4-edge-connected … WebThe interplay of symmetry of algebraic structures in a space and the corresponding topological properties of the space provides interesting insights. This paper proposes the formation of a predicate evaluated P-separation of the subspace of a topological (C, R) space, where the P-separations form countable and finite number of connected … Web19 de jul. de 2009 · An Efficient Algorithm for Cyclic Edge Connectivity of Planar Graphs Abstract: 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 connectivity c (G) is the minimum cardinality of all the cyclic edge cutsets of G. iphone se 128gb rose gold