Results 11 to 20 of about 310,757 (283)
Degree distance and vertex-connectivity
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Ali, P., Mukwembi, S., Munyira, S.
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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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Vertex degrees close to the average degree
Let $G$ be a finite, simple, and undirected graph of order $n$ and average degree $d$. Up to terms of smaller order, we characterize the minimal intervals $I$ containing $d$ that are guaranteed to contain some vertex degree. In particular, for $d_+\in \left(\sqrt{dn},n-1\right]$, we show the existence of a vertex in $G$ of degree between $d_+-\left ...
Pardey, Johannes, Rautenbach, Dieter
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Graph realizations: Maximum degree in vertex neighborhoods
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Amotz Bar-Noy +3 more
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On vertex and edge degree-based topological indices
Introduction/purpose: The entire topological indices (T Ient) are a class of graph invariants depending on the degrees of vertices and edges. Some general properties of these invariants are established.
Ivan Gutman
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On topological properties of hierarchical hypercube network based on Ve and Ev degree
Grid implementation is a principal unit in electrical and electronic engineering but it depends on the domain of these projects. For example, depending on the grid and the signal processing in that fields of electronic and electrical engineering, such as
Zahra Nida, Ibrahim Muhammad
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The topological uniqueness of the deltahedra found in the boranes BnHn2− (6≤n≤12) [PDF]
The deltahedra observed experimentally in the borane anions BnHn2− (6≤n≤12) are the only possible n-vertex deltahedra having only degree 4 and 5 vertices.
Duijvestijn, A.J.W., King, R.B.
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Detecting degree symmetries in networks [PDF]
The surrounding of a vertex in a network can be more or less symmetric. We derive measures of a specific kind of symmetry of a vertex which we call degree symmetry -- the property that many paths going out from a vertex have overlapping degree sequences.
Petter Holme +4 more
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Usefulness of Combinations of Vertex-Degree Weighted Path Indices and Elements of a Universal Matrix
The mutually optimized combinations of vertex-degree weighted path indices and the vertex-degree vertex-distance weighted elements of the Universal matrix were applied in the way of TInew = ∑kN×PN(aN,bN,...) + kij×uij(aij,bij,cij).
Anton Perdih
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Cost-based analyses of random neighbor and derived sampling methods
Random neighbor sampling, or RN, is a method for sampling vertices with a mean degree greater than that of the graph. Instead of naïvely sampling a vertex from a graph and retaining it (‘random vertex’ or RV), a neighbor of the vertex is selected instead.
Yitzchak Novick, Amotz Bar-Noy
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