Neil Robertson,P.D Seymour.Journal of Combinatorial Theory, Series B . 2003 (1)N. Robertson, P. Seymour, "Graph minors. XVI: Excluding a non- planar graph", J. Comb. Theory Ser. B 89 (2003), 43-76.N. Robertson, P. Seymour, "Graph minors. XVI: Excluding a non-planar graph", ...
stereochemistry A0210 Algebra, set theory, and graph theoryIt is emphasized by means of counter-examples that the theorem of Gutman, Mallion and Essam (1983, Molec. Phys., 50, 859), for computing the number of spanning trees in a labelled graph, is generally valid only for planar graph...
Like past QAOA experiments, we study performance for problems defined on the planar connectivity graph native to our hardware; however, we also apply the QAOA to the Sherrington–Kirkpatrick model and MaxCut, non-native problems that require extensive compilation to implement. For hardware-native ...
Let G be a 2-connected cubic graph with a cycle C, and let chG(C) be the set of all chords of C in G. If G−chG(C) is a planar graph, then L(G) is strongly even cycle decomposable. Then we consider non-planar cubic graphs embedded in the projective plane and the torus, ...
A non-planar circuit is a circuit that cannot be drawn on a flat surface without any wires crossing each other. Graph theory is a branch of mathematics that studies the properties and relationships of graphs. An oriented graph is a graph with arrows on its edges indicating the direction of ...
To be braided and fused by unitary operations, the D3Vs must be moved. Whereas the structure of the stabilizer graph is usually considered to be static, it was predicted by Bombin that the dislocations in the surface code would show projective non-Abelian Ising statistics if braided10. Here,...
Hu, H., Sun, L., Wu, J.: List edge coloring of planar graphs without 6-cycles with two chords. Discuss. Math. Graph Theory, 41, 199–211 (2021) Article MathSciNet MATH Google Scholar Jensen, T., Toft, B.: Graph Coloring Problems. Wiley-Interscience Series in Discrete Mathematics ...
1.non-planar condensed ring structure非平面密集环状结构 2.The graph K1 is hence nonplanar.于是,图K1是非平面的。 3.Graphic Non-Two Dimentional,The Application of the Visual Elements with the Multi-Dimensional Expression in Exhibition Space Design平面非平面——论平面视觉要素的多维化表述在展示空间中...
Included in the following conference series: Southeastern International Conference on Combinatorics, Graph Theory, and Computing 460 Accesses Abstract Let G be a graph with vertex set V(G) and edge set E(G). A (p, q)-graph G=(V,E) is said to be AL(k)-traversal if there exist a seq...
The study of Bose–Einstein condensation effects in photonic systems has revealed a rich phenomenology related to spontaneous coherence generation in driven-dissipative spatially extended systems and is providing a new platform for the study of non-equilibrium phase transitions and critical behaviours. In...