Some recurrence relations for Cauchy numbers of the first kind.
Some relations among invariants of graphs
Some relations between distance-based polynomials of trees
Some Relations for Graphic Polynomials
Some remarks about digraphs with nonisomorphic - or -neighbourhoods
Some remarks on chromatic graphs
Some remarks on domatic numbers of graphs
Some remarks on Eulerian graphs
Some remarks on integral graphs with maximum degree four.
Some remarks on Jaeger's dual-hamiltonian conjecture
François Jaeger conjectured in 1974 that every cyclically 4-connected cubic graph is dual hamiltonian, that is to say the vertices of can be partitioned into two subsets such that each subset induces a tree in . We shall make several remarks on this conjecture.
Some remarks on Menger's theorem
Some remarks on Ramsey matroids
Some remarks on the complement of a line graph
Some remarks on the enumeration of rooted trees
Some remarks on the number of different triple systems of Steiner
Some remarks on the solutions of the equality per. (Einige Bemerkungen über die Lösungen der Gleichung per.)
Some remarks on the Steiner triple systems associated with Steiner quadruple systems
Some Remarks On The Structure Of Strong K-Transitive Digraphs
A digraph D is k-transitive if the existence of a directed path (v0, v1, . . . , vk), of length k implies that (v0, vk) ∈ A(D). Clearly, a 2-transitive digraph is a transitive digraph in the usual sense. Transitive digraphs have been characterized as compositions of complete digraphs on an acyclic transitive digraph. Also, strong 3 and 4-transitive digraphs have been characterized. In this work we analyze the structure of strong k-transitive digraphs having a cycle of length at least k. We show...
Some remarks on α-domination
Let α ∈ (0,1) and let ) be a graph. According to Dunbar, Hoffman, Laskar and Markus [3] a set is called an α-dominating set of G, if for all . We prove a series of upper bounds on the α-domination number of a graph G defined as the minimum cardinality of an α-dominating set of G.
Some results concerning reconstruction conjecture