Balanced Abelian group-valued functions on directed graphs
نویسندگان
چکیده
منابع مشابه
Remarks on Distance-Balanced Graphs
Distance-balanced graphs are introduced as graphs in which every edge uv has the following property: the number of vertices closer to u than to v is equal to the number of vertices closer to v than to u. Basic properties of these graphs are obtained. In this paper, we study the conditions under which some graph operations produce a distance-balanced graph.
متن کاملBalanced group-labeled graphs
A group-labeled graph is a graph whose vertices and edges have been assigned labels from some abelian group. The weight of a subgraph of a group-labeled graph is the sum of the labels of the vertices and edges in the subgraph. A group-labeled graph is said to be balanced if the weight of every cycle in the graph is zero. We give a characterization of balanced group-labeled graphs that generaliz...
متن کاملOn the fixing number of graphs with abelian automorphism group
The fixing number of a graph G is the cardinality of a smallest set of vertices of G that is not fixed by any non-trivial automorphism of G. In this paper we investigate the fixing number of finite graphs with abelian automorphism group.
متن کاملremarks on distance-balanced graphs
distance-balanced graphs are introduced as graphs in which every edge uv has the followingproperty: the number of vertices closer to u than to v is equal to the number of vertices closerto v than to u. basic properties of these graphs are obtained. in this paper, we study theconditions under which some graph operations produce a distance-balanced graph.
متن کاملOn planar functions of elementary abelian p-group type
We proved affine planes corresponding to quadratic planar functions over Fpn are semifield planes, and we determined affine planes corresponding to planar functions f(x) = x10 − αx6 − α2x2 by Ding and Yuan. Moreover we calculated explicit shapes of planar functions from the square mappings of almost all known finite commutative semifields.
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: Ars Mathematica Contemporanea
سال: 2017
ISSN: 1855-3974,1855-3966
DOI: 10.26493/1855-3974.910.460