The Diameter of a Cycle Plus a Random Matching
نویسندگان
چکیده
How small can the diameter be made by adding a matching to an n-cycle? In this paper this question is answered by showing that the graph consisting of an n-cycle and a random matching has diameter about log2n, which is very close to the best possible value. It is also shown that by adding a random matching to graphs with certain expanding properties such as expanders or Ramanujan graphs, the resulting graphs have near optimum diameters.
منابع مشابه
On the computational complexity of finding a minimal basis for the guess and determine attack
Guess-and-determine attack is one of the general attacks on stream ciphers. It is a common cryptanalysis tool for evaluating security of stream ciphers. The effectiveness of this attack is based on the number of unknown bits which will be guessed by the attacker to break the cryptosystem. In this work, we present a relation between the minimum numbers of the guessed bits and uniquely restricted...
متن کاملOn the tenacity of cycle permutation graph
A special class of cubic graphs are the cycle permutation graphs. A cycle permutation graph Pn(α) is defined by taking two vertex-disjoint cycles on n vertices and adding a matching between the vertices of the two cycles.In this paper we determine a good upper bound for tenacity of cycle permutation graphs.
متن کاملSex-related Left Ventricle Rotational and Torsional Mechanics by Block Matching Algorithm
Background: The aim of the present study was to evaluate how left ventricular twist and torsion are associated with sex between sex groups of the same age.Materials and Methods: In this analytical study, twenty one healthy subjects were scanned in left ventricle basal and apical short axis views to run the block matching algorithm; instantaneous changes in the base and apex rotation angel...
متن کاملUse of gray wolf algorithm to optimize gas microturbineUse of gray wolf algorithm to optimize gas microturbine
In this research, optimization of gas microturbine through economic, exergy and environmental analysis has been investigated by the gray wolf algorithm. First, a thermodynamic modeling was performed for each of the above modes, and then using the gray wolf method, optimum points were determined for each systemchr('39')s performance. For modeling, the code written in MATLAB software was used. ...
متن کاملComparison of Spironolactone plus Cyproterone Acetate plus Cyproterone Compound with Spironolactone plus Cyproterone Compound in Hirsutism: A randomized clinical trial
Background: Monotherapy is not usually effective in the treatment of hirsutism. Objective: Comparison of 2 therapeutic regimens in the treatment of hirsutism. Patients and methods: In this open parallel controlled clinical trial, 101 Patients suffering from hirsutism were randomly divided into two equal groups. 50 patients were treated with spironolactone (50 mg/day) plus cyproterone comp...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- SIAM J. Discrete Math.
دوره 1 شماره
صفحات -
تاریخ انتشار 1988