packing number;
open packing number;
COVERING NUMBERS;
D O I:
10.7151/dmgt.1775
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In a graph G = (V, E), a non-empty set S subset of V is said to be an open packing set if no two vertices of S have a common neighbour in G. An open packing set which is not a proper subset of any open packing set is called a maximal open packing set. The minimum and maximum cardinalities of a maximal open packing set are respectively called the lower open packing number and the open packing number and are denoted by rho(0)(L) and rho(0). In this paper, we present some bounds on these parameters.
机构:
Dept Pure Math & Math Stat, Wilberforce Rd, Cambridge CB3 0WB, England
Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA
London Inst Math Sci, 35a South St, London W1K 2XF, EnglandDept Pure Math & Math Stat, Wilberforce Rd, Cambridge CB3 0WB, England
Bollobas, Bela
Janson, Svante
论文数: 0引用数: 0
h-index: 0
机构:
Uppsala Univ, Dept Math, POB 480, SE-75106 Uppsala, SwedenDept Pure Math & Math Stat, Wilberforce Rd, Cambridge CB3 0WB, England
Janson, Svante
Scott, Alex
论文数: 0引用数: 0
h-index: 0
机构:
Univ Oxford, Radcliffe Observ Quarter, Math Inst, Andrew Wiles Bldg,Woodstock Rd, Oxford OX2 6GG, EnglandDept Pure Math & Math Stat, Wilberforce Rd, Cambridge CB3 0WB, England