منابع مشابه
An Approach to Hirsch Conjecture
W.M. Hirsch formulated a beautiful conjecture on amaximum of diameters of convex polyhedrawith both fixed dimension and number of facets. This is still unsolved for about 50 years. Here, I suggest a new method of argument from the viewpoint of deformation of polytope. As a candidate of the clue to the complete-proof, there’s some conjectures which are all sufficient for the original problem.
متن کاملAn Approach to the Hirsch Conjecture
W. M. Hirsch proposed a beautiful conjecture on diameters of convex polyhedra, which is still unsolved for about 50 years. I suggest a new method of argument from the viewpoint of deformation and moduli of polytopes. As a consequence, for example, if there are at least 3 disjoint geodisics for all Dantzig figures, as in the 3 dimensional case, the conjecture follows.
متن کاملA counterexample to the Hirsch conjecture
The Hirsch Conjecture (1957) stated that the graph of a d-dimensional polytope with n facets cannot have (combinatorial) diameter greater than n−d. That is, any two vertices of the polytope can be connected by a path of at most n− d edges. This paper presents the first counterexample to the conjecture. Our polytope has dimension 43 and 86 facets. It is obtained from a 5-dimensional polytope wit...
متن کاملCategorizing Hirsch Index Variants
Utilizing the Hirsch index h and some of its variants for an exploratory factor analysis we discuss whether one of the most important Hirsch-type indices, namely the g-index comprises information about not only the size of the productive core but also the impact of the papers in the core. We also study the effect of logarithmic and square-root transformation of the data utilized in the factor a...
متن کاملSamson Raphael Hirsch
... "Religion allied to progress": [the leaders of Reform have] with undaunted courage embroidered [this slogan] in scintillating colours on to the banner of our present-day religious struggles, that the educated "progressive" sons and daughters of the new age might rally to this new flag of the prophet and advance with it unhindered. How leaderless was this new congregation of prophets before ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Anatomical Record
سال: 2001
ISSN: 0003-276X,1097-0185
DOI: 10.1002/ar.1134