z-logo
Premium
Group divisible ( K 4 − e ) ‐packings with any minimum leave
Author(s) -
Gao Yufeng,
Chang Yanxun,
Feng Tao
Publication year - 2018
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.21600
Subject(s) - combinatorics , mathematics , graph , disjoint sets , group (periodic table) , discrete mathematics , organic chemistry , chemistry
A decomposition ofK n ( g ) ∖ L , the complete n ‐partite equipartite graph with a subgraph L (called the leave) removed, into edge disjoint copies of a graph G is called a maximum group divisible packing of K n ( g )with G if L contains as few edges as possible. We examine all possible minimum leaves for maximum group divisible ( K 4 − e ) ‐packings. Necessary and sufficient conditions are established for their existences.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here
Accelerating Research

Address

John Eccles House
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom