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graph idea – Is there a purely clique-theoretic expression of the Euler attribute?
The Euler attribute of a graph is V – E + F. Where V is the variety of vertices, E is the variety of edges, and F is the variety of faces.
Given a graph $X$, can we write $X$ as a clique and discover its Euler attribute with a formulation which solely refers to cardinality and union?
I arbitrator we create a route, however is that this fascinating? We would affection to discover a route to write down the Euler attribute utterly clique-theoretically. And, we maintain create a route, however quiet engaged on it. Has this already been accomplished?
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