圖的符號邊控制數(shù)

敖國艷,紅霞,霍紅,吉日木圖

(1.內(nèi)蒙古民族大學離散數(shù)學研究所,內(nèi)蒙古通遼 028043; 2.內(nèi)蒙古民族大學數(shù)學學院,內(nèi)蒙古通遼 028043)

圖的符號邊控制數(shù)

敖國艷1,2,紅霞1,2,霍紅1,2,吉日木圖1,2

(1.內(nèi)蒙古民族大學離散數(shù)學研究所,內(nèi)蒙古通遼 028043; 2.內(nèi)蒙古民族大學數(shù)學學院,內(nèi)蒙古通遼 028043)

圖的符號邊控制數(shù)有著許多重要的應用背景.已知它的計算是NP-完全問題,因而確定其精確值有重要意義.本文確定了圖、Hn和的符號邊控制數(shù)．

圖;符號邊控制函數(shù);符號邊控制數(shù)

DO I：10.3969/j.issn.1008-5513.2013.04.010

1 引言

2 主要結(jié)果

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Signed edge dom ination num bers of graphs

Ao Guoyan1,2,Hong Xia1,2,Huo Hong1,2,Jirimutu1,2

(1.Institute of Discrete M athematics,Inner M ongolia University for Nationalities
2.College of Mathematics,Inner M ongolia University for Nationalities,Tongliao 028043,China)

The signed edge dom ination number of a graph has its im port and applying background.It is known that com pu ting it is NP-com p lete,so it is usefu l to determ inate the exact value of it.In this paper,we determ ine the signed edge dom ination numbers of graph F?n+1、Hnand P?n.

graph,signed edge dom ination function,signed edge dom ination numbers

O157.5

A

1008-5513(2013)04-0397-06

2013-05-06.

國家自然科學基金(61262018,61261025);內(nèi)蒙古自治區(qū)高等學?？茖W研究項目(NJZY 11198).

敖國艷(1988-),碩士,研究方向：圖論及其應用.

2010 M SC:05C69