The Volume 3 of International Journal of Mathematical Combinatorics in 2023 is released Today, which can be found in the column of International J.Math.Combin.
In this issue, there are 12 papers published, which are listed in the following:
Paper 1 "Combinatorial Science{How Science Leads Humans with the Nature in Harmony"
is a reviewing paper on the developing of science with its application and asserts that the developing of science with its application is not consistent with the sustainable developing of humans, i.e., the more science develops, the greater the interference of humans activities led by it on the nature. So, the application of science should be a systemic or combinatorial
one, not a solitary or fragmented one, namely it should be discovered the closed systems of substances produced in human activities with an inherited combinatorial structure and
then, applied it for benefiting humans without intruding to the nature.
Paper 2 "Some New Inequalities for N-Times Differentiable Strongly Godunova-Levin
Functions By Huriye Kadakal and Mahir Kadakal" establishes several new inequalities for
n-times differentiable strongly Godunova-Levin functions.
Paper 3 "On Lorentzian Sasakian Space Form with Respect to Generalized Tanaka
Connection and Some Solitons" studies several type of symmetricness of Lorentzian Sasakian space forms with respect to generalized Tanaka connection and nature of *Ricci soliton, *-conformal Ricci soliton, generalized Ricci soliton, generalized conformal Ricci soliton of this type of space forms with respect to generalized Tanaka connection etc.
Paper 4 "A Note on Laplacian Coeffcients of the Characteristic Polynomial of L-Matrix
of a Marked Graph" find the characteristic polynomial of a Laplacian L-matrix of a graph with signs. Using the trace of the Laplacian L-matrix and the number of vertices of the marked graph, the coeffcients of the characteristic polynomial have been found. Also we have shown that the same characteristic polynomial coefficients can be obtained using Laplacian eigenvalues of L-matrix. Further, we have obtained an upper bound for the largest eigenvalue of a signed graph.
Paper 5 "Pairwise Balanced Designs Arising from Minimum Covering and Maximum
Independent Sets of Circulant Graphs" obtains the total number of (\alpha; \beta)-sets in different jump sizes of some circulant graphs apart from strongly regular graphs which are the blocks of PBD.
Paper 6 "Edge Ck Symmetric n-Sigraphs" introduce a new notion edge Ck symmetric
n-sigraph of a symmetric n-sigraph. Its properties are and itsstructural characterization are obtained.
Paper 7 "Perfect Roman Domination of Some Cycle Related Graphs" presents the perfect Roman domination number of some cycle related graphs such as helm graphs, sunlet graphs and ower snark graphs.
Paper 8 "On Equitable Associate Symmetric n-Sigraphs" introduces a new notion equitable associate symmetric n-sigraph of a symmetric n-sigraph and discusses its structural
characterization.
Paper 9 "PD-Divisor Labeling of Graphs" defines the PD-divisibility and PD-divisor pair of numbers and establish some of its properties. Also, it find the PD-divisor labeling of some standard graphs.
Paper 10 "A QSPR Analysis for Square Root Stress-Sum Index" is carrying on the square root stress-sum index of molecular graphs and physical properties of lower alkanes and linear regression models are presented for boiling points, molar volumes, molar refractions, heats of vaporization and critical temperatures.
Paper 11 "Gallai and Anti-Gallai Symmetric n-Sigraphs" introduce a new notions Gallai and anti-Gallai symmetric n-sigraph of a symmetric n-sigraph and its properties are obtained. Also it gives the relation between Gallai symmetric n-sigraphs and anti-Gallai symmetric n-sigraphs.
Paper 12 "Open Neighborhood Coloring of a Generalized Antiprism Graph" determine the open neighborhood chromatic number of a generalization of the antiprism graph.