期刊： JOURNAL OF ALGEBRAIC COMBINATORICS, ; ()
In this paper, we study combinatorial aspects of permutations of {1, ..., n} and related topics. In particular, we prove that there is a unique permut......
期刊： JOURNAL OF ALGEBRAIC COMBINATORICS, ; ()
Based on the Stirling triangle of the second kind, the Whitney triangle of the second kind and one triangle of Riordan, we study a Stirling-Whitney-Ri......
期刊： JOURNAL OF ALGEBRAIC COMBINATORICS, ; ()
A dessin is called circular if the boundary of each face is a circuit (a simple cycle). In this paper, we address the problem of characterizing edge-t......
期刊： JOURNAL OF ALGEBRAIC COMBINATORICS, ; ()
APR tilts for path algebra kQ can be realized as the mutation of the quiver Q in ZQ with respect to the translation. In this paper, we show that we ha......
期刊： JOURNAL OF ALGEBRAIC COMBINATORICS, ; ()
In this paper, we demonstrate a method for calculating the production matrices for the Euler-genus polynomials of H-linear families of graphs. Particu......
期刊： JOURNAL OF ALGEBRAIC COMBINATORICS, ; ()
A regular dessin is an orientable edge-regular bipartite map. Jones et al.(J Combin Theory Ser B 98:241-248, 2008) showed that a complete bipartite gr......
期刊： JOURNAL OF ALGEBRAIC COMBINATORICS, 2021; 53 (2)
The schurity of association schemes has been studied in many papers. One of the major topics is to investigate the schurity of those association schem......
期刊： JOURNAL OF ALGEBRAIC COMBINATORICS, 2021; 53 (2)
In this paper, we give a characterisation for a class of edge-transitive Cayley graphs and provide a method for constructing edge-transitive graphs of......
期刊： JOURNAL OF ALGEBRAIC COMBINATORICS, 2020; 51 (4)
Using the Poisson formula for resultants, and variants of the chip-firing game on graphs, we provide a combinatorial method for computing a class of r......
期刊： JOURNAL OF ALGEBRAIC COMBINATORICS, 2020; 51 (4)
Parallel to operated algebras built on top of planar rooted trees via the grafting operator B+, we introduce and study boolean OR-algebras and more ge......
期刊： JOURNAL OF ALGEBRAIC COMBINATORICS, 2020; 52 (1)
A Cayley graph of a group H is a finite simple graph Gamma such that Aut(Gamma) contains a subgroup isomorphic to H acting regularly on V(Gamma), whil......
期刊： JOURNAL OF ALGEBRAIC COMBINATORICS, 2020; 52 (1)
In this article, we introduce the Laplacian matching polynomial of a graph. We prove some results concerning this new polynomial which can be viewed a......
期刊： JOURNAL OF ALGEBRAIC COMBINATORICS, 2020; 52 (2)
Production matrices have become established as a general paradigm for calculating the genus polynomials for linear sequences of graphs. Here we derive......
期刊： JOURNAL OF ALGEBRAIC COMBINATORICS, 2020; 52 (3)
A (face-)primer hypermap is a regular oriented hypermap whose group G of the orientation-preserving automorphisms acts faithfully on its hyperfaces. I......
期刊： JOURNAL OF ALGEBRAIC COMBINATORICS, 2020; 51 (1)
A weakly distance-regular digraph is quasi-thin if the maximum value of its intersection numbers is 2. In this paper, we focus on commutative quasi-th......
