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#handshakingtheorem, #handshakinglemma, #graphtheory, #thegatehub handshaking theorem || handshaking lemma || degree of a vertex || degree in graph theory || handshaking theorem in graph theory || handshaking lemma in graph theory || handshaking theorem in discrete mathematics || why it is called handshaking lemma || handshaking lemma for gate || handshaking theorem for gate || handshaking lemma corollary || handshaking theorem in hindi || handshaking lemma in hindi || handshaking theorem in graph theory in hindi || handshaking theorem solved examples The handshaking lemma is a mathematical statement that states that in a finite undirected graph, the number of vertices touching an odd number of edges is even. This lemma is a consequence of the degree sum formula, which states that the sum of the degrees (the number of times each vertex is touched) equals twice the number of edges in the graph. Leonhard Euler (1736) proved both results in his famous paper on the Seven Bridges of Königsberg, which initiated the study of graph theory. 🌐 Key Highlights: 1️⃣ Understanding Graph Handshaking 2️⃣ The Handshaking Theorem Explained 3️⃣ Implications for Undirected Graphs 4️⃣ Applications in Network Analysis 5️⃣ Proof and Variations of the Theorem 6️⃣ Examples and Practical Scenarios Contact Details (You can follow me at) Instagram: / thegatehub LinkedIn: / thegatehub Twitter: / thegatehub ................................................................................................................... Email: thegatehub2020@gmail.com Website: https://thegatehub.com/ ................................................................................................................... 📚 Subject Wise Playlist 📚 ▶️Data Structures: http://tinyurl.com/bwptf6f7 ▶️Theory of Computation: http://tinyurl.com/5bhtzhtd ▶️Compiler Design: http://tinyurl.com/2p9wtykf ▶️Design and Analysis of Algorithms: http://tinyurl.com/ywk8uuzc ▶️Graph Theory: http://tinyurl.com/3e8mynaw ▶️Discrete Mathematics: http://tinyurl.com/y82r977y