Answer the Following Questions About the Graph $K _ { 3,4 }$

question 4

Essay

Answer the following questions about the graph $K _ { 3,4 }$
(a) How many vertices and how many edges are in this graph?
(b) Is this graph planar? Justify your answer.
(c) Does this graph have an Euler circuit? Does it have an Euler path? Give reasons for your answers.
(d) What is the chromatic number of this graph?

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Definitions:

Convergent Thinking

A cognitive process where a person seeks a single, correct solution to a problem.

Creative

The ability or quality of generating original ideas, or making connections between seemingly unrelated phenomena.

Triarchic Theory

A theory of intelligence proposed by Robert Sternberg that suggests intelligence can be divided into three aspects: analytical, creative, and practical.

Robert Sternberg

An American psychologist known for his theory on intelligence and creativity, including the triarchic theory of intelligence.