Minimal energy trees of given bipartition and diameter
Liu, Zhongzhu; Zhou, Bo
Util. Math. 89, 3-13 (2012).
Existence of optimal restricted strong partially balanced designs
Liang, Miao; Du, Beiliang
Util. Math. 89, 15-31 (2012).
Hamiltonicity in directed Toeplitz graphs of maximum (out or in) degree 4
Malik, Shabnam
Util. Math. 89, 33-68 (2012).
On vertex irregular total labelings of convex polytope graphs
Ahmad, Ali
Util. Math. 89, 69-78 (2012).
Changing and unchanging the roman domination number of graph
Jafari Rad, Nader; Volkmann, Lutz
Util. Math. 89, 79-95 (2012).
On determinants and permanents of k-tridiagonal Toeplitz matrices
Aşci, Mustafa; Taşci, Dursun; El-Mikkawy, Moawwad
Util. Math. 89, 97-106 (2012).
BBP-type formulae modulo 5
Zhang, Wenlong; Song, He-Shan
Util. Math. 89, 107-112 (2012).
Bell polynomials for sums and products with applications to derivatives of functions of trigonometric and hyperbolic functions
Withers, Christopher S.; Nadarajah, Saralees
Util. Math. 89, 113-127 (2012).
A characterization for a sequence to be potentially \({K_{r+1}−E(P2),K−2r+1}\)-graphic
Wang, Ye; Yin, Jian-Hua
Util. Math. 89, 129-139 (2012).
Connected domination: vertex criticality and matchings
Ananchuen, W.; Ananchuen, N.; Plummer, M. D.
Util. Math. 89, 141-159 (2012).
The Laplacian spectral radius of a class of bipartite graphs
Tan, Xuezhong; Liu, Bolian
Util. Math. 89, 161-167 (2012).
On super edge-magic total labeling on subdivision of trees
Javaid, M.; Hussain, M.; Ali, K.; Shaker, H.
Util. Math. 89, 169-177 (2012).
The multiplication formulas for the Apostol-Genocchi polynomials
Luo, Qiu-Ming
Util. Math. 89, 179-191 (2012).
On fractional \((k,m)\)-deleted graphs
Zhou, Sizhong
Util. Math. 89, 193-201 (2012).
Some results on \((g,f)\)-uniform graphs
Cai, Jiansheng; Ge, Liansheng
Util. Math. 89, 203-210 (2012).
Graphs such that all minimum dominating sets intersect all maximally independent sets
Johnson, Peter D. jun.; Prier, D. R.
Util. Math. 89, 211-224 (2012).
Multiplication modules and principal elements of modules over noncommutative rings
Sevim, Esra Sengelen
Util. Math. 89, 225-235 (2012).
Some optimal codes and strongly regular graphs from the linear group \(L_{4}(3)\)
Crnković, Dean; Mikulić Crnković, Vedrana; Rodrigues, B. G.
Util. Math. 89, 237-255 (2012).
Hall numbers of some complete k-partite graphs
Allagan, Julian A.
Util. Math. 89, 257-267 (2012).
On longest paths in triangular lattice graphs
Dino Jumani, Ali; Zamfirescu, Tudor
Util. Math. 89, 269-273 (2012).
Necessary conditions on graceful labels: a study case on trees and other examples
Vietri, Andrea
Util. Math. 89, 275-287 (2012).
Centralizer of braids and Fibonacci numbers
Ali, Usman; Haider, Azeem
Util. Math. 89, 289-296 (2012).
The Hankel transform of generalized Bell numbers and its q-analogue
Corcino, Roberto B.; Corcino, Cristina B.
Util. Math. 89, 297-309 (2012).
On the gracefulness of the digraphs \(n−C_{21}\)
Jinsiqintuya; Jirimutu
Util. Math. 89, 311-318 (2012).
Merrifield-Simmons index of a class of unicyclic graphs
Chen, Shubo; Liu, Weijun
Util. Math. 89, 319-329 (2012).
On the nonplanarity of powers of paths
Chartrand, Gary; Fujie, Futaba; Zhang, Ping
Util. Math. 89, 331-341 (2012).
The first six quasi-trees with greatest Randić index
Bao, Qi; Lu, Mei
Util. Math. 89, 343-356 (2012).
Some \(C_{3}\)-supermagic graphs
Jeyanthi, P.; Selvagopal, P.; Sundaram, S. Soma
Util. Math. 89, 357-366 (2012).
The set of fuzzy points of coalgebras
Chen, Wenjuan; Guan, Yanyong
Util. Math. 89, 367-371 (2012).
On super edge-magicness of graphs
Ahmad, Ali; Baig, A. Q.; Imran, Muhammad
Util. Math. 89, 373-380 (2012).
