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Hamiltonicity in prime sum graphs

WebAug 24, 2024 · Our main result states that graphs that have a robust Hamilton framework are (in a strong sense) Hamiltonian. As an application we can easily recover many of the above mentioned contributions and also prove several new results. 2 Results To provide an overview of our outcomes, we introduce some further notation. WebDaniel P. Biebighauser and M. N. Ellingham, Prism-hamiltonicity of triangulations, J. Graph Theory 57 (2008) 181-197. doi:10.1002/jgt.20276 , PDF preprint . M. N. Ellingham and D. Christopher Stephens, The nonorientable genus of joins of complete graphs with large edgeless graphs, J. Combinatorial Theory Series B 97 (2007) 827-845.

(PDF) Hamiltonicity in Prime Sum Graphs - ResearchGate

WebNov 1, 2013 · We also characterize connected k -regular graphs on 2 k + 3 vertices ( 2 k … WebMar 2, 2024 · A graph is Hamiltonian if it contains a cycle which visits every vertex of the … provincetown car rental companies https://carolgrassidesign.com

Hamiltonicity in connected regular graphs - ScienceDirect

Webgraph is connected if its underlying undirected graph is connected. That is, the connectedness of a directed graph does not depend on the orientation of directed edges. De nition 2.3 (Graph Isomorphism). For any graphs and 0, we de ne an isomorphism ˚: ! 0as a map between vertices in and vertices in 0such that, for v 1 and v 2 in fvg, if v 1 ... WebOct 27, 2024 · It is easy to see that every Hamiltonian graph is connected, has a perfect fractional matching and, excluding the bipartite case, contains an odd cycle. Our main result in turn states that any large enough graph that robustly satisfies these properties must already be Hamiltonian. WebMay 19, 2016 · In the study of hamiltonicity of graphs, a classical result was proved by Chvátal and Erdös [ 10 ]. Theorem 1.2 (Chvátal and Erdös [ 10 ]) A connected graph G with \alpha (G)\le \kappa (G) is Hamiltonian. For claw-free graphs, Flandrin and Li [ 12] proved the following: Theorem 1.3 provincetown carnival week 2022

Hamiltonicity in connected regular graphs - ScienceDirect

Category:Degree Sum Conditions for Hamiltonicity on k-Partite Graphs

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Hamiltonicity in prime sum graphs

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WebJun 16, 2024 · Hamiltonicity in Token Graphs A Hamiltonian cycle of a graph G is a cycle containing each vertex of G exactly once. A graph G is Hamiltonian if it contains a Hamiltonian cycle. The Hamiltonian problem … WebAB - For any positive integer n, we define the prime sum graph Gn= (V, E) of order n with …

Hamiltonicity in prime sum graphs

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WebHamiltonicity in Prime Sum Graphs Hong-Bin Chen1 Department of Applied … WebHamiltonicity in Prime Sum Graphs Hong-Bin Chen1 • Hung-Lin Fu2 • Jun-Yi Guo3 …

WebSometimes, it is easier to work with random Cayley graphs or random Cayley sum graphs for abelian groups, rather than random Latin square graphs. This is because we always have L ij = L−1 ij in the case of Cayley graphs, and L ij = L ji in the case of Cayley sum graphs, and so dependences between the edges can be easier to deal with. WebApr 21, 2024 · The domination theory of graphs is an important part of graph theory …

WebJan 1, 2024 · Hamiltonicity in Prime Sum Graphs Authors: Hong-Bin Chen Academia Sinica Hung-Lin Fu National Chiao Tung University Junyi Guo National Taiwan Normal University Abstract and Figures For any... WebJan 4, 2024 · We study the basic properties of a prime sum graph, which is a simple graph defined on $\mathbb N$ where two vertices are adjacent if and only if their sum is a prime number. Further,...

There are infinitely many Hamiltonian G_{2n}’s. The contribution of this paper is to revisit Conjecture 1, that has stood for decades as an open question, and make progress on it. Our result partly improves the result by Greenfield and Greenfield [10] with new insights from Graph Theory. Although the main result is … See more [10] The set of integers \{1, 2, 3, \cdots , 2n\}, n \ge 1, can be partitioned into pairs \{a_i,b_i\} such that a_i+b_i is prime for all i=1, 2, \cdots , n. … See more [6] The set of integers \{1, 2, 3, \cdots , 2n\}, n \ge 2, can be rearranged in a circle such that the sum of any two adjacent numbers is a prime. In other words, G_{2n}contains a … See more [1, 17] For any positive integer n>1, there is at least a prime p such that n

restaurants in hotchkiss coWebSep 19, 2024 · I’m reading a proof on the Hamiltonicity of a random graph, and there’s a few details that I’m not clear about. Here’s the setup and argument: restaurants in hospers iowaWebHamiltonicity has been widely studied with relation to various parameters such as graph density, toughness, forbidden subgraphs and distance among other parameters. Dirac and Ore's theorems basically state that a … provincetown car rental hertz<2n. As the proof of Theorem 1 is short, we demonstrate it in the … See more G_{2n}, n\ge 2, contains a Hamilton cycle if there exist two primes p_1 restaurants in horwichWebFeb 15, 2024 · Hamiltonicity Twin prime conjecture Graph in graph theory Improvement of Sensitivity of Pooling Strategies for COVID-19 Chen, H. B., Guo, J. Y., Shu, Y. C., Lee, Y. H. & Chang, F. H., 2024, In: Computational and Mathematical Methods in Medicine. 2024, 6636396. Research output: Contribution to journal › Article › peer-review Open Access provincetown cell phone wallpaperWebJul 10, 2024 · Hamiltonicity: Variants and Generalization in -free Chordal Bipartite graphs S.Aadhavan, R.Mahendra Kumar, P.Renjith, N.Sadagopan A bipartite graph is chordal bipartite if every cycle of length at least six has a chord in it. restaurants in hotels in durhamWebthe Hamiltonicity property of the prime difference graph in a sense that for any edge e in … provincetown cat shelter