Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Leonid A. Mel'nikov"'
Publikováno v:
Journal of Graph Theory. 59:279-292
Publikováno v:
Discrete Mathematics. 307:1538-1544
Let x be a vertex of a simple graph G. The vertex-type of x is the lexicographically ordered degree sequence of its neighbors. We call the graph G vertex-oblique if there are no two vertices in V(G) which are of the same vertex-type. We will show tha
Publikováno v:
Discrete Mathematics. 306(6):591-594
Let G be a 4-regular planar graph and suppose that G has a cycle decomposition S (i.e., each edge of G is in exactly on cycle of the decomposition) with every pair of adjacent edges on a face always in different cycles of S. Such a graph G arises as
Publikováno v:
Electronic Notes in Discrete Mathematics. 22:469-475
The Wiener index W ( G ) of a graph G is the sum of distances between all unordered pairs of vertices. This notion was motivated by various mathematical properties and chemical applications. For a tree T, it is known that W ( T ) and W ( L ( T ) ) ar
Publikováno v:
Applied Mathematics Letters. 18:307-312
The Wiener number, W ( G ) , is the sum of the distances of all pairs of vertices in a graph G . Infinite families of graphs with increasing cyclomatic number and the property W ( G ) = W ( L ( G ) ) are presented, where L ( G ) denotes the line grap
Autor:
Leonid S. Mel'nikov, Artem V. Pyatkin
Publikováno v:
Discrete Mathematics. 252(1-3):237-245
Given a set of integers S, G(S)=(S,E) is a graph, where the edge uv exists if and only if u + v ∈ S . A graph G =( V , E ) is an integral sum graph or ISG if there exists a set S ⊂ Z such that G = G ( S ). This set is called a labeling of G . The
Publikováno v:
Discrete Mathematics. 309(8):2564-2566
Let G be a 4-regular plane graph and suppose that G has a cycle decomposition S (i.e., each edge of G is in exactly one cycle of the decomposition) with every pair of adjacent edges on a face always in different cycles of S. Such a graph G arises as
Autor:
Leonid S. Mel'nikov, Vadim G. Vizing
Publikováno v:
Journal of Graph Theory. 31:267-273
Publikováno v:
Croatica Chemica Acta
Volume 77
Issue 3
Volume 77
Issue 3
The Wiener index is a topological index defined as the sum of distances between all pairs of vertices in a tree. It was introduced as a structural descriptor for molecular graphs of alkanes, which are trees with vertex degrees of four at the most (ch
Publikováno v:
Discussiones Mathematicae Graph Theory. 32:617