Hamiltonicity in prime sum graphs
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. 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.
Hamiltonicity in prime sum graphs
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WebAB - For any positive integer n, we define the prime sum graph Gn= (V, E) of order n with … 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 …
WebSep 1, 1996 · The List Edge Colouring Conjecture asserts that, given any multigraph G with chromatic index k and any set system {S-e:e is an element of E (G)} with each \S-e\ = k, we can choose elements s (e ... Webthe Hamiltonicity property of the prime difference graph in a sense that for any edge e in …
WebSep 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: WebJun 30, 2014 · In this paper, we still study the Hamiltonicity of a graph. Firstly, we present a signless Laplacian spectral radius condition for a bipartite graph to be Hamiltonian in Section 2. Secondly, we give some signless Laplacian spectral radius conditions for a graph to be traceable or Hamilton-connected in Section 3 and Section 4, respectively. 2.
WebHamiltonicity in Prime Sum Graphs Hong Bin Chen *, Hung Lin Fu, Jun Yi Guo *Corresponding author for this work Department of Mathematics Research output: Contribution to journal › Article › peer-review Overview Fingerprint Abstract
WebJul 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. chrysotoxum bicinctumThere 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 chrysotile wallschrysotoxum elegansWebApr 1, 2024 · Graphs Using the minimum and maximum degrees to bound the diameter of orientations of bridgeless graphs Journal of the Operations Research Society of China Authors: Wan-Ping Zhang Ji-Xiang Meng... chrysotus choricusWebHamiltonicity in Prime Sum Graphs PDF / 468,325 Bytes 11 Pages / 439.37 x 666.142 … chrysotoxum gracileWebHere, we are given an undirected graph on n vertices and a positive integer r and the task is to check if there are r. PDF / 25,975,395 Bytes; 653 Pages / 439.37 x 666.142 pts Page_size; 65 Downloads / 193 Views; ... Hamiltonicity of Matching Composition Networks with Conditional Edge Faults. 147 86 11MB. Parameterized Synthesis with Safety ... chrysotoxum arcuatumWebExplore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. chrysotoxum intermedium