Convolutional network-error correcting codes (CNECCs) are known to provide error correcting capability in acyclic instantaneous networks within the network coding paradigm under sm...
In the present article, we consider algebraic geometry codes on some rational surfaces. The estimate of the minimum distance is translated into a point counting problem on plane cu...
A 4-graph is odd if its vertex set can be partitioned into two sets so that every edge intersects both parts in an odd number of points. Let b(n) = max n 3 + (n - ) 3 = 1 2 + o...
A homomorphism from an oriented graph G to an oriented graph H is a mapping from the set of vertices of G to the set of vertices of H such that ----(u)(v) is an arc in H whenever...
We study the following problem: Given a tree G and a finite set of trees H, find a subset O of the edges of G such that G − O does not contain a subtree isomorphic to a tree f...