Characterizations of derived graphs
WebJan 1, 2012 · The derived graph of a simple graph G, denoted by G † , is the graph having the same vertex set as G, in which two vertices are adjacent if and only if their distance in G is two. WebDec 24, 2024 · A mixed graph G is said to be strongly determined by its generalized Hermitian spectrum (abbreviated SHDGS), if, up to isomorphism, G is the unique mixed …
Characterizations of derived graphs
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WebIn its long history, the concept has been rediscovered several times, with different names such as derived graph, interchange graph, and edge-to-vertex dual. Line graphs can also … WebThe line graph of the complete graph K n is also known as the triangular graph, the Johnson graph J(n,2), or the complement of the Kneser graph KG n,2.Triangular graphs are characterized by their spectra, except for n = 8. They may also be characterized (again with the exception of K 8) as the strongly regular graphs with parameters srg(n(n − 1)/2, …
WebJan 1, 2006 · Complete Graph; Line Graph; Simple Graph; General Graph; Subgraph Isomorphic; These keywords were added by machine and not by the authors. This … WebAs can be deduced from Figure 3c,d, HO biochars exhibited a more homogeneous behavior compared with VS biochars (the slightly significant differences are reported in the graphs with the purpose to provide useful information for future characterizations of VS and HO-derived biochars).
Web35 rows · More generally, a forbidden graph characterization is a method of specifying a family of graph, or hypergraph, structures, by specifying substructures that are forbidden … WebJan 1, 2005 · We give some characterizations of this class of graphs, show that they can be recognized in linear time, give a linear time algorithm for listing all maximal cliques (which implies a linear time algorithm computing a maximum clique of a domino) and show that the PATHWIDTH problem remains NP-complete when restricted to the class of chordal …
WebA line graph (also called an adjoint, conjugate, covering, derivative, derived, edge, edge-to-vertex dual, interchange, representative, or -obrazom graph) of a simple graph is …
WebMay 1, 2024 · We generalize three classical characterizations of line graphs to line graphs of signed and gain graphs: the Krausz’s characterization, the van Rooij and Wilf’s characterization and the Beineke’s characterization. In particular, we present a list of forbidden gain subgraphs characterizing the class of gain-line graphs. get razor claw pokemon moonWebThe characterizations are in terms of the existence of a type of dual graphG⁄on the same set of edges asGsatisfy- ing certain algebraic conditions inspired by homology groups, intersection products, and Whitney’s planarity theorem. getrbprofits.comhttp://www.sciepub.com/reference/180630 get rc informationWebApr 28, 2012 · The 1-copwin graphs were characterized by Quilliot [14], and Nowakowski and Winkler [13]. They also arise in the study of convexity in graphs [1], [5]. No characterization of -copwin graphs, for any , has appeared. In this paper we provide several characterizations of these graphs. get razor fang in sun and moonWebLearn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the … get razor bumps on butt and legsWebOct 1, 1979 · Those graphs which are generalized line graphs are determined, and a characterization of all such graphs with appropriate least eigenvalue results. From this characterization it is shown that the only regular graphs with X (G) > - 2 have cliques or circuits as connected components. christmas trees in grand havenWebThe characterization of line graphs ( Theorem 1.1) led several authors to investigate efficient algorithms for the recognition of line graphs. In this section we discuss such algorithms, as well as recognition questions for some generalizations and … get razor bumps go away fast