Competition hypergraphs

被引:43
作者
Sonntag, M
Teichert, HM
机构
[1] Med Univ Lubeck, Inst Math, D-23560 Lubeck, Germany
[2] Freiberg Univ Min & Technol, Fac Math & Comp Sci, D-09596 Freiberg, Germany
关键词
hypergraph; competition graph; food web;
D O I
10.1016/j.dam.2004.02.010
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
If D = (V,A) is a digraph, its competition hypergraph CH(D) has vertex set V and e subset of or equal to V is an edge of CH(D) iff \e\greater than or equal to2 and there is a vertex vis an element ofV, such that e=N-(v)={wis an element ofV\(w,v)is an element ofA}. Besides a motivation for this new concept, closely related to the well-known competition graphs, we present several properties of competition hypergraphs and discuss connections to corresponding results for competition graphs. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:324 / 329
页数:6
相关论文
共 12 条
[1]  
Bang-Jensen J., 2001, DIGRAPHS THEORY ALGO
[2]  
COHEN JE, 1968, 17696PR
[3]   A CHARACTERIZATION OF COMPETITION GRAPHS [J].
DUTTON, RD ;
BRIGHAM, RC .
DISCRETE APPLIED MATHEMATICS, 1983, 6 (03) :315-317
[4]   INVERTING GRAPHS OF RECTANGULAR MATRICES [J].
GREENBERG, HJ ;
LUNDGREN, JR ;
MAYBEE, JS .
DISCRETE APPLIED MATHEMATICS, 1984, 8 (03) :255-265
[5]  
Kim Suh-Ryung, 1993, Ann. Discrete Math., V55, P313, DOI DOI 10.1016/S0167-5060(08)70396-0
[6]  
LUNDGREN JR, 1989, IMA V MATH, V17, P221
[7]   A CHARACTERIZATION OF GRAPHS OF COMPETITION NUMBER-M [J].
LUNDGREN, JR ;
MAYBEE, JS .
DISCRETE APPLIED MATHEMATICS, 1983, 6 (03) :319-322
[8]   ON THE COMPUTATION OF THE COMPETITION NUMBER OF A GRAPH [J].
OPSUT, RJ .
SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS, 1982, 3 (04) :420-428
[9]  
Roberts F. S., 1978, Theory and applications of graphs, P477
[10]   A CHARACTERIZATION OF COMPETITION GRAPHS OF ARBITRARY DIGRAPHS [J].
ROBERTS, FS ;
STEIF, JE .
DISCRETE APPLIED MATHEMATICS, 1983, 6 (03) :323-326