A Generalization of Axer's Theorem and Some of its Application

A generalization of Plantholt's theorem

✍ A. J. W. Hilton 📂 Article 📅 1986 🏛 John Wiley and Sons 🌐 English ⚖ 152 KB

A generalization of Turán's theorem

✍ Benny Sudakov; Tibor Szabó; H. Van Vu 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 94 KB

## Abstract In this paper, we obtain an asymptotic generalization of Turán's theorem. We prove that if all the non‐trivial eigenvalues of a __d__‐regular graph __G__ on __n__ vertices are sufficiently small, then the largest __K__~__t__~‐free subgraph of __G__ contains approximately (__t__ − 2)/(__

A generalization of Robacker's theorem

✍ S.K. Tipnis; L.E. Trotter Jr. 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 875 KB

Let 9 be the polyhedron given by 9 = {x E R": Nx=O, a~x~b}, where N is a totally unimodular matrix and a and 6 are any integral vectors. For x E R" let (x)' denote the vector obtained from x by changing all its negative components to zeros. Let x1, . . . , xp be the integral points in 9 and let 9+ b

A generalization of carathéodory's theor

A generalization of carathéodory's theorem

✍ Imre Bárány 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 812 KB

The following theorem is lproved. If the sets VI, . . . , Vn+, CR" and a E fly:: conv Vi, then there exist elements ui E Vi (i = 1, . . . , n + 1) such that a E conv{o,, . . . , un+J. Thii is a generalization of Carathtidory's theorem. By applying this and similar results some open questions are ans

A generalization of Petersen's theorem

✍ Michel X. Goemans 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 338 KB

Goemans, M.X., A generalization of Petersen's theorem, Discrete Mathematics 115 (1993) 277-282. Petersen's theorem asserts that any cubic graph with at most 2 cut edges has a perfect matching. We generalize this classical result by showing that any cubic graph G = (V, E) with at most 1 cut edge has

A Further Generalization of Yannelis–Pra

A Further Generalization of Yannelis–Prabhakar's Continuous Selection Theorem and Its Applications

✍ Xian Wu; Shikai Shen 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 164 KB

In this article, we first prove one improved version of the Yannelis᎐Prabhakar continuous selection theorem and next, as its applications, a fixed point theorem in noncompact product spaces, a nonempty intersection theorem, some existence theorems of solutions for the generalized quasi-variational i