期刊： ARS MATHEMATICA CONTEMPORANEA, 2020; 18 (1)
In this paper rooted (near-)4-regular maps on the projective plane are investigated with respect to the root-valency, the number of edges, the number ......
期刊： ARS MATHEMATICA CONTEMPORANEA, 2020; 18 (2)
In 2018, Fan and Li classified the complete bipartite graph K-m,K-n that has a unique orientably edge-transitive embedding. In this paper, we extend t......
期刊： ARS MATHEMATICA CONTEMPORANEA, 2020; 18 (2)
The thickness of a graph G is the minimum number of planar subgraphs whose union is G. In this paper, we present sharp lower and upper bounds for the ......
期刊： ARS MATHEMATICA CONTEMPORANEA, 2020; 18 (2)
A dessin is a 2-cell embedding of a connected 2-coloured bipartite graph into an ori-entable closed surface. A dessin is regular if its group of orien......
期刊： ARS MATHEMATICA CONTEMPORANEA, 2020; 18 (1)
Carlitz defined the degenerate Bernoulli polynomials beta(n) (lambda, x) by means of the generating function t ((1 + lambda t)(1/lambda) -1)(-1) (1 + ......
期刊： ARS MATHEMATICA CONTEMPORANEA, 2020; 19 (1)
A step forward is made in a long standing Lovasz problem regarding hamiltonicity of vertex-transitive graphs by showing that every connected vertex-tr......
期刊： ARS MATHEMATICA CONTEMPORANEA, 2020; 19 (2)
In this paper, we prove that a Frobenius group (except for those which are dihedral groups) can only be the automorphism group of an orientably-regula......
期刊： ARS MATHEMATICA CONTEMPORANEA, 2020; 19 (2)
Let A be a hyperplane arrangement in A isomorphic to R-n. Let V-q be the q-Varchenko matrix for the arrangement A with all hyperplane parameters equal......
期刊： ARS MATHEMATICA CONTEMPORANEA, 2020; 19 (2)
For a k-regular graph Gamma and a graph Upsilon of order k, a generalized truncation of Gamma by Upsilon is constructed by replacing each vertex of Ga......
期刊： ARS MATHEMATICA CONTEMPORANEA, 2019; 16 (1)
Let p be an odd prime. A graph is called a bi-p-metacirculant on a metacyclic p-group H if admits a metacyclic p-group H of automorphisms acting semir......
期刊： ARS MATHEMATICA CONTEMPORANEA, 2019; 16 (1)
A graph is said to be symmetric if its automorphism group is transitive on its arcs. Guo et al. in 2011 and Pan et al. in 2013 determined all pentaval......
期刊： ARS MATHEMATICA CONTEMPORANEA, 2019; 16 (1)
The 4-girth-thickness theta(4, G) of a graph G is the minimum number of planar subgraphs of girth at least four whose union is G. In this paper, we ob......
期刊： ARS MATHEMATICA CONTEMPORANEA, 2019; 16 (2)
A skew morphism phi of a finite group A is a permutation on A fixing the identity element of A and for which there exists an integer-valued function p......
期刊： ARS MATHEMATICA CONTEMPORANEA, 2019; 16 (2)
In this paper, we classify some reflexible edge-transitive orientable embeddings of complete bipartite graphs. As a by-product, we classify groups suc......
期刊： ARS MATHEMATICA CONTEMPORANEA, 2019; 17 (1)
The inertia of a graph G is defined to be the triplet In(G) = (p(G), n(G), eta(G)), where p(G), n(G) and eta(G) are the numbers of positive, negative ......
