Graph theory 2023 previous year question paper and detailed answers
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1
graph theory previous year question paper 2023 #previous #maths #education
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illustrate with an example: #previous #maths #education a vertex cut of a graph
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prove that a vertex of a tree is a cut vertex if v›1
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If G is a block with v ≥ 3, then any two edges of G lie on a common cycle.
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MARRIAGE THEOREMif G is a k regular bipartite graph with K›0,then G has a perfect matching
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A matching M in G is a maximum matching if and only if G contains no M-augmented path
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7
Every connected graphcontain a spanning tree
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α+β=v
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t is spanning tree of G (i) the cotree contains no bond of G(ii) T`+ e contains a unique bond of G.
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G be a simple graph,u&v nonadjacent vertices,d(u)+d(v)≥v.Then G is hamiltonian⟺ G+uv is hamiltonian.
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A connected graph has an euler trial if and only if it has atmost two vertices of odd degrees
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If G is a simple graph with v ≥ 3 and δ ≥ v/2, then G is hamiltonian.
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M be a matching & K be a covering st │M│=│K│. Then M is a maximum matching & K is a minimum covering
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14
describe k- coloring of a graph and k-chromatic graph
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If G is eulerian, then any trail in G constructed by Fleury's algorithm is an Euler tour of G.
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Calicut University MSc mathematics 4th semester graph theory 2022 question paper and answers
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