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1
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Different solution of power Diophantine equation based on constant term
Let us define a power Diophantine equation by 2 algebraic functions $f,g$ (having different degree) and by integers $k, l >0$ where, there are finite solutions for $f(x)+k=g(y)$, but there exists $l$ …
1
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0
answers
235
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"Graph Individualization"[ reference request] [closed]
Context: I am studying Weisfeiler Lehman method(WL method) and have clear idea about 1 and 2 dimensional WL method. I was wondering about the individualization process described below-
Individualiz …
2
votes
1
answer
377
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Graph Isomorphism for Triangle Free graph
Is there any specific computational complexity result of Graph Isomorphism for Triangle Free graphs?
Anything close to the subject will help and of course, I have searched Google.
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306
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Graph Coloring: Two adjacent vertices share same color
Consider, subgraphs $G_1, G_2,...... G_x$ of graph $G$. Each subgraph has $k$ vertices.
Now, Fix subgraph $G_1$ and consider another subgraph $G_k$ where $1 <k \le x$.
The edge set between $ …
4
votes
1
answer
728
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Is there a error/typo in the proof related to Goormaghtigh equation in Yann Bugeaud's paper?
I found the following theorem in a paper by Yann Bugeaud (page 12) ,
the theorem was not written in detail, to be specific,following two lines on page 13 were not understandable-
I think this …
2
votes
0
answers
186
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Classification of Automorphism set of a Regular graph
Let $A$ be the adjacency matrix of an $r$-regular graph $G$ with $n$ vertices (Not complete or cycle graph) . Also, let $Aut(G)$ be the set of all its automorphisms (i.e. set of permutation matrices) …