Robust hamiltonicity of dirac graphs
WebAug 28, 2024 · Dirac’s theorem for random regular graphs Volume 30, Issue 1 Padraig Condon (a1) , Alberto Espuny Díaz (a2) , António Girão (a1) , Daniela Kühn (a1) and Deryk … WebRobust Hamiltonicity of Dirac graphs. Article. Full-text available. Jan 2012; Michael Krivelevich; Choongbum Lee; Benny Sudakov; A graph is Hamiltonian if it contains a cycle which passes through ...
Robust hamiltonicity of dirac graphs
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Webnwith maximum degree , the graph K n Hobtained by deleting the edges of from K n is Hamiltonian? This question not only asks for a su cient condition for a graph to be … WebA classical theorem of Dirac from 1952 asserts that every graph on n vertices with minimum degree at least n/2 is Hamiltonian. We refer to such graphs as Dirac graphs. In this paper we extend Dirac’s theorem in two directions and show that Dirac graphs are robustly Hamiltonian in a very strong sense.
WebMar 1, 2024 · Hamiltonicity ·Connectivity 1 Introduction In a Maker-Breaker positional game, two players take turns occupying a free element of a vertex set X, called the board. The game is defined by a finite... WebA classical theorem of Dirac from 1952 asserts that every graph on $n$ vertices with minimum degree at least $n/2$ is Hamiltonian. We refer to such graphs as Dirac graphs. In this paper we extend Dirac's theorem in two directions and show that Dirac graphs are robustly Hamiltonian in a very strong sense.
WebBibTeX @MISC{Sudakov_robusthamiltonicity, author = {Benny Sudakov and et al.}, title = {Robust Hamiltonicity of Dirac graphs}, year = {}} WebA classical theorem of Dirac from 1952 asserts that every graph on $n$ vertices with minimum degree at least $n/2$ is Hamiltonian. We refer to such graphs as Dirac graphs. …
WebA classical theorem of Dirac from 1952 asserts that every graph on n vertices with minimum degree at least \begin{align*}\left\lceil n/2 \right\rceil\end{align*} is Hamiltonian. In this paper we extend this result to random graphs. Motivated by the study of resilience of random graph properties we prove that if p ≫ log n/n, then a.a.s. every subgraph of G(n,p) …
WebA classical theorem of Dirac from 1952 asserts that every graph on n vertices with minimum degree at least n/2 is Hamiltonian. We refer to such graphs as Dirac graphs. In this paper … gretta mulrooney tyrone swift booksWebfar beyond Hamiltonicity and Dirac graphs (see, e.g., [21]). In this paper, we are interested in yet another type of robustness, and study the robustness of Hamiltonicity of Dirac graphs with respect to a new measure. De nition 1.1. Let G=(V;E) be a graph. (i) An incompatibility system Fover Gis a family F=fFvgv2V such that gretta mulrooney her lost sisterWebSep 27, 2024 · Robust Hamiltonicity of Dirac graphs. January 2012 · Transactions of the American Mathematical Society. Michael Krivelevich; ... $ Maker-Breaker game is played on a Dirac graph, then Maker can ... fiddlehead cellars lompocWebIn his seminal paper from 1952 Dirac showed that the complete graph on n≥3 vertices remains Hamiltonian even if we allow an adversary to remove ⌊n/2⌋ edges touching each … fiddlehead cellars seven twenty eightWebA famous theorem of Dirac states that any graph on n vertices with minimum degree at least n / 2 has a Hamilton cycle. Such graphs are called Dirac graphs. Strengthening this result, we show the existence of rainbow Hamilton cycles in μ n -bounded colorings of Dirac graphs for sufficiently small μ > 0. fiddlehead casket companyWebROBUST HAMILTONICITY OF DIRAC GRAPHS MICHAEL KRIVELEVICH, CHOONGBUM LEE, AND BENNY SUDAKOV ABSTRACT. A graph is Hamiltonian if it contains a cycle which passes through every vertex of the graph exactly once. A classical theorem of Dirac from 1952 asserts that every graph on n vertices with minimum degree at least n/2 is … gretta mulrooney tyrone swiftWebMar 1, 2015 · A Dirac graph is a graph on n vertices that has minimum degree δ (G) ≥ n/2. Krivelevich, Lee and Sudakov [112] showed that if G is a Dirac graph and p ≥ C log n n then G p is Hamiltonian... gretta ray drive lyrics