WebJan 1, 2024 · A generalized Halin graph is a plane graph that consists of a plane embedding of a tree T with Δ ( T ) ≥ 3, and a cycle C connecting all the leaves of the tree … WebJan 7, 2024 · In this paper, graphs with the maximum CEI are characterized from the class of all connected graphs of a fixed order and size. Graphs having maximum CEI are also determined from some other well-known classes of connected graphs of a given order; namely, the Halin graphs, triangle-free graphs, planar graphs and outer-planar graphs.
The strong chromatic index of complete cubic Halin graphs
WebSep 1, 2009 · A Halin graph is a graph H=T∪C, where T is a tree with no vertex of degree two, and C is a cycle connecting the end-vertices of T in the cyclic order determined by a … WebA Halin graph is a planar graph consisting of two edge-disjoint subgraphs: a spanning tree of at least four vertices and with no vertex of degree 2, and a cycle induced by the set of the leaves of the spanning tree. Halin graphs possess rich hamiltonicity properties such as being hamiltonian, hamiltonian connected, and almost pancyclic. lymphatic drainage massage alpharetta
GitHub - moxious/halin: Neo4j monitoring tool
WebJan 1, 2006 · The paper deals with a subfamily of those planar graphs which have outerplanar intersection of their MacLane cycle basis. These graphs have been known … WebIn graph theory, the treewidth of an undirected graph is an integer number which specifies, informally, how far the graph is from being a tree.The smallest treewidth is 1; the graphs with treewidth 1 are exactly the trees and the forests.The graphs with treewidth at most 2 are the series–parallel graphs.The maximal graphs with treewidth exactly k are called k … WebJan 11, 2012 · A Halin graph G = T ∪ C is a plane graph consisting of a plane embedding of a tree T each of whose interior vertex has degree at least 3, and a cycle C connecting the leaves (vertices of degree 1) of T such that C is the boundary of the exterior face. The tree T and the cycle C are called the characteristic tree and lymphatic drainage massage ankle sprain