A dodecagon quadrangle is the graph consisting of two cycles: a 12cycle (x1, x2, ..., x12) and a 4-cycle (x1, x4, x7, x10). A dodecagon quadrangle system [DQS] of order v and index λ [DQSλ] is a pair Σ = (X,B), where X is a finite set of v vertices and B is a collection of edge disjoint dodecagon quadrangles (called blocks) which partitions the edge set of λKv, the complete multigraph with vert...

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The classic clustering coefficient and the lately proposed closure quantify formation of triangles from two different perspectives, with focal node at centre or end in an open triad respectively. As many networks are naturally rich triangles, they become standard metrics to describe analyse networks. However, advantages applying them can be limited networks, where there relatively few but which...

Finite geometry is the study of incidence structures, a system of points and lines with some points on some lines according to an incidence relation, such that the number of points and lines is finite. Generalised quadrangles arose from an effort by Tits [5] to give geometric constructions of the finite simple groups of Lie type. Tits' key observation was that the incidence graph of an n-gon al...

Ceres has been explored by NASA/Dawn spacecraft, which allowed for the discovery of the main mineralogical and compositional characteristics of Ceres’ surface. Here, we use mainly data from the Visible and InfraRed imaging spectrometer (VIR) in order to investigate the main spectral characteristics of the quadrangle Ac-H-2 Coniraya, one of the 15 quads in which Ceres’ surface has been divided. ...

Variable independence in quantified boolean formulas (QBFs) informally means that the quantifier structure of the formula can be rearranged so that two variables reverse their outer-inner relationship without changing the value of the QBF. Samer and Szeider introduced the standard dependency scheme and the triangle dependency scheme to safely over-approximate the set of variable pairs for which...

We present an easy fisheye camera calibration technique based on a square in the scene plane in this paper. Firstly, aiming at a generic quadrangle including two parallel line segments with the known length ratio, the planar homography between the scene planar including the generic quadrangle and its image is estimated by images of two parallel line segments, then constraints on fisheye camera ...

By SANDY COYNER Thresher Staff Reporter More than 500 Rice students walked quietly in a single file around the academic quadrangle fo r f i f teen minutes yesterday afternoon, to demonstrate their interest in a statement bearing 1000 signatures which was presented to University President K. S. Pitzer's office by five members of the Student Affai rs Committee. Although the students were heckled ...

Let S= (P, B, I) be a generalized quadrangle of order (s, t). For X, y E P, X+ y. let X(x, y) be the group of all collineations of S fixing x and y linewise. If ZE (4 YJL> then the set of all points incident with the line xz (resp. y;) is denoted by z(resp. 3. The generalized quadrangle S = (P, B, I) is said to be (x, y)-transitive, x+ y, if X(x, y) is transitive on each set Z{x, z} and jZ’-{ y...