19 Questions 51 Answers 0 Followers
Questions related from SIMON RAJ F
"During our research discussion , we discovered a graph G that has exactly one basis-forced vertex 'u' (i.e., every metric basis of G contains u). We are interested in understanding the impact of...
26 April 2025 1,255 2 View
A resolving set of a graph G is a subset of nodes of Vertex set V(G) through which , we can distinguish any two nodes in G. Resolving set of minimum cardinality is called metric basis of G and...
19 March 2025 7,634 11 View
A resolving set of a graph G is a subset of nodes of V(G) through which , we can distinguish between any two nodes in G. Resolving set of minimum cardinality is called metric basis and...
18 March 2025 3,899 10 View
A Resolving set R for a graph G is a subset of vertex set V(G) of G such that any two vertices in G can be uniquely identified by the vector of distances to elements in R. Any resolving set...
11 March 2025 6,404 5 View
Let M = {v1, v2 ... vn} be an ordered set of minimum number of vertices in a graph G. Then the vector of distances (d(u, v1), d(u, v2) ... d(u, vn)) is called the M -coordinates of a vertex u of...
25 February 2024 3,339 2 View
In our Research Journey, an algorithm and software coding were revealed to me. It is useful to find all metric bases of a given graph in a reasonable time. For some graphs , we get all metric...
07 February 2024 5,138 6 View
Can One give an example of a planar Graph G with exact Metric dimension (n-d ) with maximum degree 3 (other than complete graph and star graph )?. Here n= size(G) , d= diameter of G.
13 December 2023 1,926 1 View
01 December 2023 2,518 11 View
It is clear from the literature that a graph G has metric dimension dim(G)=1 iff G is a Path and dim(H)=2=2*dim(G) if H is a simple cycle . Can one find other pair of Graphs with similar...
22 November 2019 4,717 2 View
I am working on the construction of Barnette graphs for given diameter. I would like to know the reason why many cubic 3 connected planar , (not a bipartite) are both non-Hamiltonian and...
06 July 2017 8,916 7 View
There are many research papers available in the literature about Hamiltonian graphs. I would like to know the new application of Hamiltonian graphs in Engineering, especially in Network on chip...
13 July 2016 8,965 4 View
In 1969 , David Barnette conjectured that 3 regular , 3-connected , bipartite , planar graph is Hamiltonian. . I am interested to generate Barnette graph for given even number of vertices....
21 July 2015 7,995 13 View
I would like to explain the word "Research" to my students and research scholars and history of it. Also I would like to know the first research article.
04 October 2013 8,525 15 View
It is very difficult to know the exact origins of mathematics. I would like to know about new number systems which are under research. New number systems can be used for cryptography.
23 September 2013 1,647 3 View
I came to know that the Euler's identity is very popular among mathematicians. I would like to know more special information about Euler's identity and Human Soul.
22 September 2013 1,884 27 View
I would like to know the real history of mathematics and the first result on mathematics.
20 September 2013 4,443 99 View
I would like to know, how a mathematician is different from a Professor / Scientist / Research Guide. When do we call a Doctorate in mathematics, a mathematician? What is the qualification of a...
09 September 2013 7,758 25 View
I would like to know which part of mathematics has more applications in real life situations.
13 August 2013 8,505 1 View
Adding or removing some nodes and links with out changing the maximum degree of G. Here the minimum function is linear with respect to its layer dimension.
06 July 2013 5,158 3 View
