Search engine for discovering works of Art, research articles, and books related to Art and Culture
ShareThis
Javascript must be enabled to continue!

Proper Injective Coloring Parameters of Some Wheel-Related Graphs

View through CrossRef
Any vertex coloring protocol of a graph can be viewed as a random experiment of assigning colors to the vertices, such that the random variable of this experiment is the number of vertices given a specific color in that coloring. Based on this, the statistical parameters of mean and variance have been extended as the chromatic mean and chromatic variance for various vertex colorings of graphs, in the literature. In this paper, the chromatic mean and chromatic variance of graphs with respect to its proper injective coloring are investigated for certain wheel-related graphs, by determining the optimal injective coloring pattern for the graphs with optimal chromatic sum.
Title: Proper Injective Coloring Parameters of Some Wheel-Related Graphs
Description:
Any vertex coloring protocol of a graph can be viewed as a random experiment of assigning colors to the vertices, such that the random variable of this experiment is the number of vertices given a specific color in that coloring.
Based on this, the statistical parameters of mean and variance have been extended as the chromatic mean and chromatic variance for various vertex colorings of graphs, in the literature.
In this paper, the chromatic mean and chromatic variance of graphs with respect to its proper injective coloring are investigated for certain wheel-related graphs, by determining the optimal injective coloring pattern for the graphs with optimal chromatic sum.

Related Results

Injective edge coloring of product graphs and some complexity results
Injective edge coloring of product graphs and some complexity results
Three edges e1, e2 and e3 in a graph G are consecutive if they form a cycle of length 3 or a path in this order. A k-injective edge coloring of a graph G is an edge coloring ...
Generalizations of principally quasi‐injective modules and quasiprincipally injective modules
Generalizations of principally quasi‐injective modules and quasiprincipally injective modules
Let R be a ring and M a right R‐module with S = End(MR). The module M is called almost principally quasi‐injective (or APQ‐injective for short) if, for any m ∈ M, there exists an S...
KAJIAN KEINJEKTIFAN MODUL (MODUL INJEKTIF, MODUL INJEKTIF LEMAH, MODUL MININJEKTIF)
KAJIAN KEINJEKTIFAN MODUL (MODUL INJEKTIF, MODUL INJEKTIF LEMAH, MODUL MININJEKTIF)
Abstrak. Diberikan  adalah -modul. Modul  dikatakan injektif jika untuk setiap monomorfisma   dan setiap homomorfisma  terdapat homomorfisma   sedemikian hingg...
Vibration analysis of running wheel for straddle monorail vehicles
Vibration analysis of running wheel for straddle monorail vehicles
Abstract This article is based on the tire six component force test and wheel hub fatigue test of a certain type of straddle monorail vehicle, and analyzes the reasons for ...
Abnormal analysis of wheel hub of a straddle monorail vehicle
Abnormal analysis of wheel hub of a straddle monorail vehicle
Abstract This article is based on the tire six component force test and wheel hub fatigue test of a certain type of straddle monorail vehicle, and analyzes the reasons for ...
BILANGAN KROMATIK EQUITABLE PADA GRAF BINTANG, GRAF LOLIPOP, DAN GRAF PERSAHABATAN
BILANGAN KROMATIK EQUITABLE PADA GRAF BINTANG, GRAF LOLIPOP, DAN GRAF PERSAHABATAN
Let G be a connected and undirected graph. Vertex coloring in a graph G is a mapping from the set of vertices in G to the set of colors such that every two adjacent vertices have d...
On Star Coloring of Several Corona Graphs
On Star Coloring of Several Corona Graphs
Abstract Let G be a simple graph with vertex set V(G) and edge set E(G). A vertex coloring of G is called a star coloring of G if any of the paths of 4 order are bic...
Polishing Performance of a Recycled Grinding Wheel Using Grinding Wheel Scraps for the Wet Polishing of Stainless-Steel Sheets
Polishing Performance of a Recycled Grinding Wheel Using Grinding Wheel Scraps for the Wet Polishing of Stainless-Steel Sheets
The surfaces of large austenitic stainless-steel sheets, which have side lengths of at least 1 m a sheet thickness of at least 6 mm, used for food tanks and sliding plates in seism...

Back to Top