Complete-graph tensor network states: a new fermionic wave function ansatz for molecules [PDF]
, 2010 We present a class of tensor network states specifically designed to capture the electron correlation within a molecule of arbitrary structure. In this ansatz, the electronic wave function is represented by a complete-graph tensor network (CGTN) ansatz ...
Konrad H. Marti +4 more
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Decomposing the Complete Graph Into Hamiltonian Paths (Cycles) and 3-Stars
Discussiones Mathematicae Graph Theory, 2020 Let H be a graph. A decomposition of H is a set of edge-disjoint subgraphs of H whose union is H. A Hamiltonian path (respectively, cycle) of H is a path (respectively, cycle) that contains every vertex of H exactly once.
Lee Hung-Chih, Chen Zhen-Chun
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Complete Vertical Graphs with Constant Mean Curvature in Semi-Riemannian Warped Products [PDF]
, 2022 Caminha, Antonio, de Lima Henrique F.
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On Some Properties of Characteristics Polynomials of the Complete Graphs Kn [PDF]
Engineering and Technology Journal, 2013 This paper discusses the properties of the characteristic polynomial of the complete graphs Kn, n=1, 2… respective to the adjacency matrices. Two different types of matrices, the adjacency matrix and the signless Laplacian matrix, are presented.
Nuha A. Rajab +2 more
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Dynamics, 2023 Ramsey theory constitutes the dynamics of mechanical systems, which may be described as abstract complete graphs. We address a mechanical system which is completely interconnected by two kinds of ideal Hookean springs.
Nir Shvalb +3 more
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Toward fixed point and pulsation quantum search on graphs driven by quantum walks with in- and out-flows: a trial to the complete graph [PDF]
, 2022 Higuchi Yusuke +2 more
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A note on star coloring of central graph of bipartite graph and corona graph of complete graph with path and cycle [PDF]
Transactions on Combinatorics, 2012 In this paper, we find the star chromatic number of central graph of complete bipartite graph and corona graph of complete graph with path and cycle.
V. J. Vernold, M. Venkatachalam
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Radio Labeling for Strong Product K3 ⊠ Pn
IEEE Access, 2020 Many variations of graph labeling has been defined in the literature. e.g., graceful, harmonious and radio labeling etc. In information technology and in data sciences, we need secrecy of data, different channel assignment and accuracy of transmission of
Hengxiao Qi +4 more
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A note on zero-divisor graph of amalgamated duplication of a ring along an ideal
AKCE International Journal of Graphs and Combinatorics, 2017 Let be a commutative ring and be a non-zero ideal of . Let be the subring of consisting of the elements for and . In this paper we characterize all isomorphism classes of finite commutative rings with identity and ideal such that is planar.
A. Mallika, R. Kala
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A Note on the Geometry of Closed Loops
Mathematics, 2023 In this paper, we utilize the Ramsey theory to investigate the geometrical characteristics of closed contours. We begin by examining a set of six points arranged on a closed contour and connected as a complete graph. We assign the downward-pointing edges
Nir Shvalb +3 more
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