2019-07-19T00:54:42+04:30
http://ijmsi.ir/browse.php?mag_id=4&slc_lang=en&sid=1
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2007
2
2
THE EFFECT OF PURE SHEAR ON THE REFLECTION OF PLANE WAVES AT THE BOUNDARY OF AN ELASTIC HALF-SPACE
W. HUSSAIN
This paper is concerned with the effect of pure shear on the reflection from a plane boundary of infinitesimal plane waves propagating in a half-space of incompressible isotropic elastic material. For a special class of constitutive laws it is shown that an incident plane harmonic wave propagating in the considered plane gives rise to a surface wave in addition to a reflected wave (with angle of reflection equal to the angle of incidence) although its amplitude may vanish at certain discrete angles but is independent of the state of deformation. Reflected wave amplitude is exactly equal to one in this case.For a second class of constitutive laws similar behavior is found for certain combinations of angle of incidence, material properties and deformations, but additional possibilities also arise. In particular, there may be two reflected waves instead of one reflected wave and a surface wave. Here surface wave amplitude depends upon the pure shear and the reflected wave amplitude is not equal to one in general.The dependence of the amplitudes of the reflected, and surface waves on the angle of incidence, the states of deformation is illustrated graphically.
ELASTIC WAVES
PURE SHEAR
REFLECTION
NON
LINEAR ELASTICITY
2007
11
01
1
16
http://ijmsi.ir/article-1-19-en.pdf
10.7508/ijmsi.2007.02.001
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2007
2
2
A SIMPLE ALGORITHM FOR COMPUTING TOPOLOGICAL INDICES OF DENDRIMERS
M. GHORBANI
M. JALALI
Dendritic macromoleculesâ€™ have attracted much attention as organic examples of well-defined nanostructures. These molecules are ideal model systems for studying how physical properties depend on molecular size and architecture. In this paper using a simple result, some GAP programs are prepared to compute Wiener and hyper Wiener indices of dendrimers.
DENDRIMER
WIENER INDEX
HYPER WIENER INDEX
GAP
2007
11
01
17
23
http://ijmsi.ir/article-1-20-en.pdf
10.7508/ijmsi.2007.02.002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2007
2
2
A SIMPLE ALGORITHM FOR COMPUTING DETOUR INDEX OF NANOCLUSTERS
B. MANOUCHEHRIAN
A. R. ASHRAFI
Let G be the chemical graph of a molecule. The matrix D = [dij ] is called the detour matrix of G, if dij is the length of longest path between atoms i and j. The sum of all entries above the main diagonal of D is called the detour index of G. In this paper, a new algorithm for computing the detour index of molecular graphs is presented. We apply our algorithm on copper and silver nanoclusters to find their detour index.
DETOUR INDEX
SILVER AND COPPER NANOCLUSTERS
NOINDENT
2007
11
01
25
28
http://ijmsi.ir/article-1-21-en.pdf
10.7508/ijmsi.2007.02.003
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2007
2
2
THE AUTOMORPHISM GROUP OF FINITE GRAPHS
G. H. FATH TABAR
Let G = (V,E) be a simple graph with exactly n vertices and m edges. The aim of this paper is a new method for investigating nontriviality of the automorphism group of graphs. To do this, we prove that if |E| >=[(n - 1)2/2] then |Aut(G)|>1 and |Aut(G)| is even number.
FINITE GRAPH
GRAPH AUTOMORPHISM
BIPARTITE GRAPH
2007
11
01
29
33
http://ijmsi.ir/article-1-22-en.pdf
10.7508/ijmsi.2007.02.004
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2007
2
2
NORMED HYPERVECTOR SPACES
P. RAJA
S. M. VAEZPOUR
The main purpose of this paper is to study normed hypervector spaces. We generalize some definitions such as basis, convexity, operator norm, closed set, Cauchy sequences, and continuity in such spaces and prove some theorems about them.
NORM
LINEAR FORM
HYPERVECTOR SPACE
BASIS
2007
11
01
35
44
http://ijmsi.ir/article-1-23-en.pdf
10.7508/ijmsi.2007.02.005
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2007
2
2
FINDING HIGHLY PROBABLE DIFFERENTIAL CHARACTERISTICS OF SUBSTITUTION-PERMUTATION NETWORKS USING GENETIC ALGORITHMS
M. ABADI
B. SADEGHIAN
A. GHAEMI
M. A. ALIPOUR
In this paper, we propose a genetic algorithm, called GenSPN, for finding highly probable differential characteristics of substitution permutation networks (SPNs). A special fitness function and a heuristic mutation operator have been used to improve the overall performance of the algorithm. We report our results of applying GenSPN for finding highly probable differential characteristics of Serpent block cipher. A comparison of the resultant characteristics with the previously published works shows that GenSPN can find differential characteristics of higher probabilities.
DIFFERENTIAL CHARACTERISTIC
DIFFERENTIAL CRYPTANALYSIS
GENETIC ALGORITHMS
SUBSTITUTION
PERMUTATION NETWORK
SERPENT
2007
11
01
45
56
http://ijmsi.ir/article-1-24-en.pdf
10.7508/ijmsi.2007.02.006
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2007
2
2
MORE GRAPHS WHOSE ENERGY EXCEEDS THE NUMBER OF VERTICES
C. Adiga
Z. Khoshbakht
I. Gutman
The energy E(G) of a graph G is equal to the sum of the absolute values of the eigenvalues of G. Several classes of graphs are known that satisfy the condition E(G) > n , where n is the number of vertices. We now show that the same property holds for (i) biregular graphs of degree a b , with q quadrangles, if q<= abn/4 and 5<=a < b = 0 (iii) triregular graphs of degree 1, a, b that are quadrangle-free, whose average vertex degree exceeds a , that have not more than 12n/13 pendent vertices, if 5<= a < b<=((a - 1)^2)/2 .
Energy of graph
Spectral graph theory
Biregular graphs
Triregular graphs.
2007
11
01
57
62
http://ijmsi.ir/article-1-77-en.pdf
10.7508/ijmsi.2007.02.007