Results 11 to 20 of about 178,682 (289)
Random graphs with forbidden vertex degrees [PDF]
AbstractWe study the random graph Gn,λ/n conditioned on the event that all vertex degrees lie in some given subset $ {\cal S} $ of the nonnegative integers. Subject to a certain hypothesis on $ {\cal S} $, the empirical distribution of the vertex degrees is asymptotically Poisson with some parameter $ \hat{\mu} $ given as the root of a certain ...
Grimmett, Geoffrey, Janson, Svante
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Vertex degrees of planar graphs
AbstractLet G be a planar graph having n vertices with vertex degrees d1, d2,…,dn. It is shown that Σi=1ndi2 ≤ 2n2 + O(n). The main term in this upper bound is best possible.
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Self-locking degree-4 vertex origami structures [PDF]
A generic degree-4 vertex (4-vertex) origami possesses one continuous degree-of-freedom for rigid folding, and this folding process can be stopped when two of its facets bind together. Such facet-binding will induceself-lockingso that the overall structure stays at a pre-specified configuration without additional locking elements or actuators.
Hongbin Fang, Suyi Li, K. W. Wang
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Canonical linearized Regge Calculus: counting lattice gravitons with Pachner moves [PDF]
We afford a systematic and comprehensive account of the canonical dynamics of 4D Regge Calculus perturbatively expanded to linear order around a flat background.
Hoehn, Philipp A.
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On Triangulations with High Vertex Degree [PDF]
We solve three enumerative problems concerning families of planar maps. More precisely, we establish algebraic equations for the generating function of non-separable triangulations in which all vertices have degree at least d, for a certain value d chosen in {3, 4, 5}.
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On second Zagreb index and coindex of some derived graphs [PDF]
The second Zagreb index is defined as the sum of the products of the degrees of adjacent vertices. In this note, we examine the second Zagreb indices of some derived graphs and find expressions for these in terms of vertex degrees.
Bommanahal Basavanagoud +2 more
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P- and T-violating $\pi N N$ form factor [PDF]
The form factor of the parity and time-reversal violating (PTV) pion-nucleon interaction is calculated from one-loop vertex diagrams. The degrees of freedom included in the effective lagrangian are nucleons, pions, $\eta$, $\rho$ and $\omega$ mesons.
't Hooft +25 more
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Almost sure convergence of vertex degree densities in the vertex splitting model [PDF]
1 ...
Stefánsson, Sigurdur Örn +1 more
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This paper introduce two types of edge degrees (line degree and near line degree) and total edge degrees (total line degree and total near line degree) of an edge in a fuzzy semigraph, where a fuzzy semigraph is defined as (V, σ, μ, η ...
ARCHANA S., PREETHI KUTTIPULACKAL
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N-String Vertices in String Field Theory [PDF]
We give the general form of the vertex corresponding to the interaction of an arbitrary number of strings. The technique employed relies on the ``comma" representation of String Field Theory where string fields and interactions are represented as ...
A. Abdurrahman +18 more
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