A generalization of Hamiltonicity

by Gara Pruesse

Publisher: National Library of Canada in Ottawa

Written in English
Published: Downloads: 497
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Edition Notes

SeriesCanadian theses = Thèses canadiennes
The Physical Object
Pagination1 microfiche.
ID Numbers
Open LibraryOL18682886M
ISBN 10031556850X

A non-linear model of limit order book dynamics Tail behaviour of the area under a random process, with applications to queueing systems, insurance and percolations Evidence Feed Forward Hidden Markov Model: A New Type of Hidden Markov Model. 1 Hamiltonian properties Hamiltonian Cycles Last time we saw this generalization of Dirac’s result, which we shall prove now. Proposition 1 (Ore ’60). For a graph Gwith nonadjacent vertices uand vsuch that d(u)+d(v) jGj, it follows that Gis Hamiltonian if and only if G+ eis Hamiltonian, for e= fu;vg. Size: 92KB. In the mathematical study of graph theory, a pancyclic graph is a directed graph or undirected graph that contains cycles of all possible lengths from three up to the number of vertices in the graph. Pancyclic graphs are a generalization of Hamiltonian graphs, graphs which have a . Roshan Warman - Generalization of Bridge Length to other Cartan-Killing Types Mentor: Jessica Oehrlein - Book Thickness of Graphs and their Subdivisions Mentor: Aaron Potechin. Daniel Vitek - Hamiltonicity of Conguration Spaces Mentor: Yulan Qing.

A generalization of Fan's Condition for hamiltonicity, pancyclicity, and Hamiltonian connectedness Discrete Math, (), no. , with P. Bedrossian and R. Schelp. Asymptotic bounds for irredundant and mixed Ramsey numbers J. Graph Theory, . The book contains a large number of illustrations. This will graphs and generalizations of tournaments. We concentrate on characteri-zation, recognition and decomposition of these classes. methods (such as the multi-insertion technique) for proving hamiltonicity. In Chapter 7 we describe a number of interesting topics related to re-File Size: 6MB. Generalizations of the Strong Arnold Property and the Inverse Eigenvalue Problem of a Graph. Holliday, Sarah: Kennesaw State University: Extreme Villainy. Hook, Jonelle: Mount St. Mary’s University: Proper Diameter of Edge-Colored Graphs. Hossain, Gahangir: Texas A&M University-Kingsville. In theoretical computer science, the subgraph isomorphism problem is a computational task in which two graphs G and H are given as input, and one must determine whether G contains a subgraph that is isomorphic to ph isomorphism is a generalization of both the maximum clique problem and the problem of testing whether a graph contains a Hamiltonian cycle, and is therefore NP-complete.

Behrooz Parhami's List of Publications. Page last updated on May 05 All journal articles, conference papers, workshop papers, and book chapters in the following list are refereed, unless otherwise noted. ature on Hamiltonicity problems (see, for example, [22]). An intriguing generalization of Eulerian walks was introduced by Messinger and Nowakowski in [19], as a variant of graph cleaning pro-cesses (see, for example, [2,20]). The reader is directed to [8] for an overview of graph cleaning and searching. Applying the Mycielskian repeatedly, starting with the one-edge graph, produces a sequence of graphs M i = μ(M i−1), sometimes called the Mycielski first few graphs in this sequence are the graph M 2 = K 2 with two vertices connected by an edge, the cycle graph M 3 = C 5, and the Grötzsch graph M 4 with 11 vertices and 20 edges.. In general, the graph M i is triangle-free, (i. A SHORT PROOF OF THE MIDDLE LEVELS THEOREM edge-disjoint and that this set contains a subset T n S n such that the symmetric difference of the edge sets C n 4T n is a Hamilton cycle in G n. Proof outline After setting up some important definitions .

A generalization of Hamiltonicity by Gara Pruesse Download PDF EPUB FB2

A generalization of fan's condition and forbidden subgraph conditions for hamiltonicityCited by: 1. Abstract. We obtain new polynomial kernels and compression algorithms for Path Cover and Cycle Cover, the well-known generalizations of the classical Hamiltonian Path and Hamiltonian Cycle problems.

Our choice of parameterization is strongly influenced by the work of Biró, Hujter, and Tuza, who in introduced H-graphs, intersection graphs of connected subgraphs of a subdivision Cited by: 2. A generalization of Fan's condition 43 Theorem Let G be a 2-connected graph with n > 3 vertices and independence number cc(G)Hamiltonian, (ii) GGWn, or (iii) G _ H (see Fig.

4 for the graph H).Cited by: A process to test Hamiltonicity, which A generalization of Hamiltonicity book in linear time, had been derived. Furthermore, a generalization of the algorithm extended to non-cubic and non-planar graphs is presented, too.

View. Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume ) Abstract A k -tree-Halin graph is a planar graph \(F\cup C\), where F is a forest with at most k components and C is a cycle, such that V (C) is the set of all leaves of A generalization of Hamiltonicity book, C bounds a face and no vertex has degree : Ayesha Shabbir, Tudor Zamfirescu.

A generalization of Deutch-Jozsa algorithm: A generalization of Deutch-Jozsa algorithm [Ballhysa, Elton] on *FREE* shipping on qualifying offers. A generalization of Deutch-Jozsa algorithm: A generalization of Deutch-Jozsa algorithmAuthor: Elton Ballhysa.

First, we settle an open question of Demaine et al. by showing that Edge Hamiltonian Path is FPT parameterized by vertex cover, and that it also admits a cubic kernel.

We then show fixed-parameter tractability even for a generalization of the problem to arbitrary hypergraphs, parameterized by the size of a (supplied) hitting by: 1.

The arrangement graph A n,k is a generalization of the star graph. It is more flexible in its size than the star graph.

There are some results concerning hamiltonicity and pancyclicity of the arrangement graphs. In this paper, we propose a new concept called panpositionable by: from book Polynomial time recognition of squares of Ptolemaic graphs and 3-sun-free split graphs. Parameterized Edge Hamiltonicity. tractability even for a generalization of the problem to.

N-H -~ DISCRETE MATHEMATICS ELSEVIER Discrete Mathematics () A generalization of Fan's condition and forbidden subgraph conditions for hamiltonicity Zhiquan Hu* Department of Mathematics, Central China Normal University, Wuhan Cited by: 1. The arrangement graph An,k is a generalization of the star graph.

It is more flexible in its size than the star graph. There are some results concerning hamiltonicity and pancyclicity of the Author: Guillaume Ducoffe. Part of the Lecture Notes in Computer Science book series (LNCS, volume ) Abstract By means of analysis and generalization of the hypercube and its variations of the same topological properties and network parameters, a family of interconnection networks, referred to as binary recursive networks, is introduced in this : Yun Sun, Zhoujun Li, Deqiang Wang.

Benvenuti and A. Punnen, SC-Hamiltonicity and its linkages with strong Hamiltonicity of a graph, SIAM Journal on Discrete Mathematics 23 ()   Abstract: The arrangement graph A/sub n,k/ is a generalization of the star graph. There are some results concerning fault Hamiltonicity and fault Hamiltonian connectivity of the arrangement graph.

However, these results are restricted in some particular cases and, thus, are less by: Digraphs Theory, Algorithms and Applications 15th August Springer-Verlag Berlin Heidelberg NewYork generalizations of tournaments and generalizations of digraphs).

The book contains more than exercises and a number of essary conditions for hamiltonicity which ‘converges’ to hamiltonicity. Many. Digraphs Theory, Algorithms and Applications Janu Springer-Verlag Berlin Heidelberg NewYork generalizations of tournaments and generalizations of digraphs).

The book contains more than exercises and a number of essary conditions for hamiltonicity which ‘converges’ to hamiltonicity. ManyFile Size: 3MB. In addition, all investigated problems are generalizations of the Hamiltonian Path problem and so are NP-hard.

As we cannot expect exact polynomial-time solutions, we use the approach of approximation algorithms. while some others give connection to the theory of hamiltonicity. In particular, we give a sufficient condition for the existence Author: Gábor Salamon. Fisher, McKenna, and Boyer showed that if a graph G is hamiltonian, then its Mycielski graph μ (G) is hamitonian.

In this note, it was shown that for a bipartite graph G, if its mycielski graph μ (G) is hamiltonian, then G has a Hamilton : Shuting Cheng, Dan Wang, Xiaoping Liu.

Cyclability is a natural generalization of hamiltonicity since clearly, if S = V (G), “ S is cyclable” is equivalent to “ G is Hamiltonian”. The readers can get corresponding results for hamiltonicity by setting S = V (G) in the results of this by: Charts.- Need to generalize the contemporary formulation of Lie's theory.- Isotopic generalization of the universal enveloping associative algebra.- Isotopic generalization of Lie's first, second, and third theorems.- Isotopic generalizations of enveloping algebras, Lie algebras, and Lie groups in classical and quantum.

arXivv2 [] 17 Nov Wiener Index, Harary Index and Hamiltonicity of Graphs Hongbo Huaa, Bo Ningb1 aFaculty of Mathematics and Physics, Huaiyin Institute of Technology Huai’an, Jiangsu,China bCenter for Applied Mathematics, Tianjin University Tianjin,P.

Size: KB. Hamiltonicity below Dirac's condition. 02/05/ ∙ by Bart M. Jansen, et al. ∙ TU Eindhoven ∙ 0 ∙ share. Dirac's theorem () is a classical result of graph theory, stating that an n-vertex graph (n ≥ 3) is Hamiltonian if every vertex has degree at least n/2. Ore's theorem is a result in graph theory proved in by Norwegian mathematician Øystein gives a sufficient condition for a graph to be Hamiltonian, essentially stating that a graph with sufficiently many edges must contain a Hamilton ically, the theorem considers the sum of the degrees of pairs of non-adjacent vertices: if every such pair has a sum that at least equals.

Sudakov, Szabó and Vu [6] consider a generalization of Turán's Theorem. A graph G is said to be t-Turán if any subgraph of G containing no K t+1 has at most (1−1/t + o(1))e(G) edges where e(G.

This is a common generalization of the results obtained by Brandt et al. [Degree conditions for 2-factors, J. Graph Theory 24 (), –] and Yamashita [On degree sum conditions for long.

Hamiltonicity below Dirac’s condition Jansen, B. P., Kozma, L. & Nederlof, J., 12 SepGraph-Theoretic Concepts in Computer Science - 45th International.

A generalization of Hamiltonicity is pancyclicity, the property that a graph contains a cycle of every possible length from 3 up to the order of the graph. Also, a cycle in a graph is said to be chorded if it contains an edge between 2 nonadjacent vertices on the : Tonya Miller.

Hamiltonicity and related problems. Necessary conditions for hamiltonicity of digraphs Path covering number Generalizations of digraphs. Properly coloured trails in edge-coloured multigraphs Arc-coloured directed multigraphs Hypertournaments Application: alternating Hamilton cycles in genetics.

Sudakov, T. Szabo and V. Vu, A generalization of Turan's theorem, J. Graph Theory 49 (), P. Keevash and B. Sudakov, Set systems with restricted cross-intersections and the minimum rank of inclusion matrices, SIAM J.

of Discrete Math. 18 (), Introduction. All graphs considered in this paper are simple, finite, nontrivial and undirected. Let G be a graph with vertex set \(V^0=\{v_0^0,v_1^0,\ldots,v_{n-1}^0\}\) and edge set E an integer m ≥ 1, the m-Mycielskian (also known as the generalized Mycielskian) of G, denoted by μ m (G), is the graph whose vertex set is the disjoint unionAuthor: S.

Francis Raj. Dirac's theorem is one of the most influential results in the study of hamiltonicity and by now there are many related known results(see, e.g., [J. A. Bondy, Handbook of Combinatorics, Vol. 1, MIT Press, Cambridge, MA,pp.

].Author: Guantao Chen, Songling Shan.Hamiltonicity, Pancyclicity, and Cycle Extendability in Graphs by Deborah C. Arangno, Doctor of Philosophy Utah State University, Major Professor: Dr. David E. Brown Department: Mathematics and Statistics A significant portion of Graph Theory is devoted to determining the characteristics which guarantee the existence of long : Deborah C.

Arangno.We characterize 2-spine, 1-bend planarity using a new generalization of Hamiltonian graphs that we call Hamiltonian-with-handles observe that our characterization naturally extends the connection between 2-page book embeddings and Hamiltonicity.

Finally, we use our characterization to show that 2-outerplanar graphs are 2-spine, 1-bend.