نتایج جستجو برای: complement of graph

تعداد نتایج: 21179358  

2012
Guidong YU Yizheng FAN Yi WANG

In this paper we investigate the least eigenvalue of a graph whose complement is connected, and present a lower bound for the least eigenvalue of such graph. We also characterize the unique graph whose least eigenvalue attains the second minimum among all graphs of fixed order.

Journal: :iranian journal of mathematical chemistry 0
m. r. darafsheh school of mathematics, college of science, university of tehran r. modabernia department of mathematics, shahid chamran university of ahvaz m. namdari department of mathematics, shahid chamran university of ahvaz

abstract let ‎g=(v,e) ‎be a‎ ‎simple ‎connected ‎graph ‎with ‎vertex ‎set ‎v‎‎‎ ‎and ‎edge ‎set ‎‎‎e. ‎the szeged index ‎of ‎‎g is defined by ‎ where ‎ respectively ‎ ‎ is the number of vertices of ‎g ‎closer to ‎u‎ (‎‎respectively v)‎ ‎‎than ‎‎‎v (‎‎respectively u‎).‎ ‎‎if ‎‎‎‎s ‎is a‎ ‎set ‎of ‎size‎ ‎ ‎ ‎let ‎‎v ‎be ‎the ‎set ‎of ‎all ‎subsets ‎of ‎‎s ‎of ‎size ‎3. ‎then ‎we ‎define ‎three ‎...

Journal: :Combinatorica 2005
Maria Chudnovsky Gérard Cornuéjols Xinming Liu Paul D. Seymour Kristina Vuskovic

A graph is Berge if no induced subgraph of G is an odd cycle of length at least five or the complement of one. In this paper we give an algorithm to test if a graph G is Berge, with running time O(|V (G)|). This is independent of the recent proof of the strong perfect graph conjecture.

Journal: :Australasian J. Combinatorics 1994
Ferdinand Gliviak Martin Knor Lubomír Soltés

A graph is radially maximal if its radius decreases after the addition of any edge of its complement. It is proved that any graph can be an induced subgraph of a regular radially maximal graph with a prescribed radius T 2: 3. For T 2: 4, k 2: 1, radially maximal graphs with radius T containing k cut-nodes are constructed.

2008
DAVID G. LONG

We show that the Alexander and Thurston norms are the same for all irreducible Eisenbud-Neumann graph links in homology 3-spheres. These are the links obtained by splicing Seifert links in homology 3-spheres together along tori. By combining this result with previous results, we prove that the two norms coincide for all links in S3 if either of the following two conditions are met; the link is ...

Journal: یافته 2006
ali Esmaili, asghar Sepahvand, babak Baharvand, mehrdad Namdari, mohammad javad Tarrahi, sasan Saket, sedighe Nadri, yaghob Shirkani,

Background: Coronary artery disease (CAD) is one of the most important and lethal diseases in the world. CAD represents a board spectrum of disease from silent ischemia at one end to sudden cardiac death at the other end. The middle of this spectrum consists of acute myocardial infarction (AMI) and unstable angina pectoris (UA). Recent data show that the inflammatory process plays a major r...

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