New base exchange properties of binary and graphic matroids are derived. The graphic matroids within the class of 4-connected binary matroids are characterized by base exchange properties. Some progress with the characterization of arbitrary graphic matroids is made. Characterizing various types of matroids by base exchange properties is e.g. important in invariant theory.

Syntax Graphic Graphic Graphic Graphic Graphic Graphic Graphic Graphic Graphic String,12pt,Helvetica String,12pt,Helvetica String,12pt,Helvetica String,12pt,Helvetica String,12pt,Helvetica Figure 2: Abstract and Concrete Syntax of the AHL Net Alphabet VL sentence = (VL abstract sentence, VL concrete sentence) w.r.t. VL alphabet consists of a VL abstract sentence given by an attributed graph str...

We discuss properties which must be satisfied by a genetic network in order for it to allow differentiation. These conditions are expressed as follows in mathematical terms. Let F be a differentiable mapping from a finite dimensional real vector space to itself. The signs of the entries of the Jacobian matrix of F at a given point a define an interaction graph, i.e. a finite oriented finite gra...

A nongraphic matroid M is said to be almost-graphic if, for all elements e, either M\e or M/e is graphic. We determine completely the class of almost-graphic matroids, thereby answering a question posed by Oxley in his book “Matroid Theory.” A nonregular matroid is said to be almost-regular if, for all elements e, either M\e or M/e is regular. An element e for which both M\e and M/e are regular...

In 1611, Galileo Galilei created an astonishing series of drawings depicting the Earth’s moon to demonstrate the power of his new invention — the telescope — to his patron, Cosimo de’ Medici1. As a true Renaissance man, Galileo had a degree in drawing from the Accademia delle Arti del Disegno in Florence, as well as a degree in natural philosophy from the University of Pisa. This key connection...

SUMMARY This study aims at urban 3D features modeling/rendering system architecture design and its prototype implementations on 3D mobile and web 3D application. Mobile 3D is a cutting-edge technology. However, platforms and devices for mobile 3D GIS technology manipulating geographic data and information provide some limitations to design and implement. Despite, emerging standard mobile 3D gra...

Graphic symbols are often used to represent words in Augmentative and Alternative Communication systems. Previous findings suggest that different processes operate when using graphic symbols and when using speech. This study assessed the ability of native speakers of French with no communication disorders from four age groups to interpret graphic-symbol sequences of varying length and canonicit...

OBJECTIVE Observational research suggests that placing graphic images on cigarette warning labels can reduce smoking rates, but field studies lack experimental control. Our primary objective was to determine the psychological processes set in motion by naturalistic exposure to graphic vs. text-only warnings in a randomized clinical trial involving exposure to modified cigarette packs over a 4-w...

For given a graph H , a graphic sequence π = (d1, d2, · · · , dn) is said to be potentially H-graphic if there exists a realization of π containing H as a subgraph. In this paper, we characterize the potentially K6 − C5 -graphic sequences .