Fig. 4: A typical conﬁguration of hard particles on a tetravalent planar graph.
Geometrically Constrained Statistical Models on Fixed and Random Lattices: From Hard Squares to Meanders
Fig. 4 a typical hard-particle conﬁguration on a connected planar tetravalent graph.
Geometrically Constrained Statistical Models on Fixed and Random Lattices: From Hard Squares to Meanders
Fig. 5: The pictorial representation for the matrix elements of the twomatrix model describing hard-particles on tetravalent fatgraphs.
Geometrically Constrained Statistical Models on Fixed and Random Lattices: From Hard Squares to Meanders
Hence the simple fact that we sum over arbitrary tetravalent graphs takes the universality class of the FPL2 model back to that of the dense one.
Geometrically Constrained Statistical Models on Fixed and Random Lattices: From Hard Squares to Meanders
The substitution of pentavalent atoms like As and P with a tetravalent Si introduces a hole in the system. B12P2−xSix wafer resistivity measurements show a low electrical conductivity28 .
Superconductivity from doping boron icosahedra
X (resp. Y ) counts the black (resp. white) tetravalent stars and u the bicolored edges : I (X, Y, u) = Pm,n,r∈N X mY nur ♯{ quasi -tetravalent maps with m tetravalent black stars, n tetravalent white stars and r bi-colored edges}.
Combinatorial aspects of matrix models
To illustrate the interest of using conserved quantities, we give in Sect.6.3 an example of application to the statistics of neighbors of the external face in pure tetravalent and pure hexavalent graphs.
Integrability of graph combinatorics via random walks and heaps of dimers
Let us now illustrate this in the cases of pure tetravalent and pure hexavalent graphs.
Integrability of graph combinatorics via random walks and heaps of dimers
Here P (p) denotes the probability for the external face of inﬁnitely large tetravalent rooted graphs to have p adjacent faces.
Integrability of graph combinatorics via random walks and heaps of dimers
We can deﬁne tetravalent vertices to achieve the same end as in Figure 13.
Jones-Wenzl idempotents For Rank 2 Simple Lie algebras
Tetravalent edge-transitive cayley graphs with odd number of vertices. J.
Cayley graphs formed by conjugate generating sets of S_n
Genetically engineered tetravalent singlechain Fv of the pancarcinoma monoclonal antibody CC49: Improved biodistribution and potential for therapeutic application.
Carbon Nanotubes in Biology and Medicine: in vitro and in vivo Detection, Imaging and Drug Delivery
We now turn to charge compensation by tetravalent iron. Pure CaFeO3 has a very low TNeel= 125K, and one may therefore think that Fe+4 is not likely to be present in our samples given that they have an increased TNeel instead.
Effect of Chemical Pressure on the Magnetic Transition of Multiferroic Ca-BiFeO3
O(n) loop model, to which we turn now. O(n) model on quadrangulations.—In this model, self- and mutually-avoiding loops are drawn on a tetravalent graph dual of a quadrangulation, each loop carrying a non local weight n (Fig. 1).
The Hausdorff Dimension of Two-Dimensional Quantum Gravity
Feynman graphs Γ (with n(Γ) vertices) formed by tetravalent vertices connected by propagators.
The century of the incomplete revolution: searching for general relativistic quantum field theory
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