5 papers
Laplacian eigenvalues and eigenspaces of cographs generated by finite sequence
Santanu Mandal, Ranjit Mehatari, Zoran Stanic
In this paper we consider particular graphs defined by , where is even, is a complete graph o…
Notes on Hamiltonian threshold and chain graphs
Milica Andelic, Tamara Koledin, Zoran Stanic
We revisit results obtained in [F. Harary, U. Peled, Hamiltonian threshold graphs, Discrete Appl.~Math., 16 (1987), 11--15], where several necessary and necessary and sufficient co…
On joins of a clique and a co-clique as star complements in regular graphs
Yuhong Yang, Jianfeng Wang, Qiongxiang Huang +1
In this paper we consider -regular graphs that admit the vertex set partition such that one of the induced subgraphs is the join of an -vertex clique and a -vertex co-…
On eigenvalue multiplicity in signed graphs
Farzaneh Ramezani, Peter Rowlinson, Zoran Stanic
For signed graphs we provide a cubic polynomial upper bound on the multiplicity of its eigenvalues. We show that this bound is sharp by providing examples of signed graphs in which…
Probability and strategy in a variation of a blackjack game
Zoran Stanić
The subject of this paper is a variation of a blackjack game, mainly popular in some parts of Europe where it is known as einz (in German slang: one). We describe the rules of this…