Another extension of Van de Wiele's theorem

Another extension of Loewner's theorem

✍ William F Donoghue Jr. 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 199 KB

Another Proof of Gluck's Theorem

✍ Hiroshi Matsuyama 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 56 KB

In this article, G is a permutation group on a finite set . We write permutations on the right, so that αg is the image of α ∈ by the action of g ∈ G. A subset S of is said to be G-regular if the stabilizer g ∈ G Sg = S is the identity. Our purpose is to give a direct short proof of the following t

Another proof of Jackson's theorem

✍ Eli Passow 📂 Article 📅 1970 🏛 Elsevier Science 🌐 English ⚖ 101 KB

An extension of Vizing's theorem

✍ Chew, K. H. 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 110 KB

Let G = (V (G), E(G)) be a simple graph of maximum degree ∆ ≤ D such that the graph induced by vertices of degree D is either a null graph or is empty. We give an upper bound on the number of colours needed to colour a subset S of V (G) ∪ E(G) such that no adjacent or incident elements of S receive

An extension of Wagner's theorem

✍ Lynn Margaret Batten 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 215 KB

In his famous 1965 paper, Asher Wagner proves that if S is a finite affine plane and G a collineation group line transitive on S. then S is a translation atfine plane and G contains the translation group of S. In this paper, we generalize Wagner's assumptions to: S is an affine spfce embedded as a m

An extension of Melnikov's theorem

✍ A.M. Davie; D.R. Wilken 📂 Article 📅 1972 🏛 Elsevier Science 🌐 English ⚖ 208 KB