مرور Volume 5, Issue 2 بر اساس عنوان

  • Degree distance and Gutman index of increasing trees 

    Kazemi, Ramin؛ Meimondari, Leila (University of Isfahan, 2016-06-01)
    ‎‎The Gutman index and degree distance of a connected graph $G$ are defined as‎ ‎begin{eqnarray*}‎ ‎textrm{Gut}(G)=sum_{{u,v}subseteq V(G)}d(u)d(v)d_G(u,v)‎, ‎end{eqnarray*}‎ ‎and‎ ‎begin{eqnarray*}‎ ...

  • On spectra of unitary Cayley mixed graph 

    Adiga, Chandrashekar؛ ‎Rakshith, B‎. ‎R‎. (University of Isfahan, 2016-06-01)
    ‎‎In this paper we introduce mixed unitary Cayley graph $M_{n}$‎ ‎$(n>1)$ and compute its eigenvalues‎. ‎We also compute the energy of‎ ‎$M_{n}$ for some $n$‎.

  • On the number of connected components of divisibility graph for certain simple groups 

    Abdolghafourian, Adeleh؛ Iranmanesh, Mohammad Ali (University of Isfahan, 2016-06-01)
    The divisibility graph $mathscr{D}(G)$ for a finite group $G$ is a graph with vertex set $cs(G)setminus{1}$‎ ‎where $cs(G)$ is the set of conjugacy class sizes of $G$‎. ‎Two vertices $a$ and $b$ are adjacent whenever $a$ ...

  • On the spectrum of $r$-orthogonal Latin squares of different orders 

    Amjadi, Hanieh؛ Soltankhah, Nasrin؛ Shajarisales, Naji؛ Tahvilian, Mehrdad (University of Isfahan, 2016-06-01)
    ‎Two Latin squares of order $n$ are orthogonal if in their superposition‎, ‎each of the $n^{2}$ ordered pairs of symbols occurs exactly once‎. ‎Colbourn‎, ‎Zhang and Zhu‎, ‎in a series of papers‎, ‎determined the integers ...

  • Recursive construction of $(J,L)$ QC LDPC codes with girth 6 

    Gholami, Mohammad؛ Rahimi, Zahra (University of Isfahan, 2016-06-01)
    ‎In this paper‎, ‎a recursive algorithm is presented to generate some exponent matrices which correspond to Tanner graphs with girth at least 6‎. ‎For a $J times L$ exponent matrix $E$‎, ‎the lower bound $Q(E)$ is obtained ...